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Determine If the Ratios are in Proportion

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1

Determine if the ratios 19:17 and 76:68 are in proportion

2

Determine if the ratios 18:25 and 36:50 are in proportion

3

Determine if the ratios 2:10 and 12:60 are in proportion

4

Determine if the ratios 9:18 and 81:162 are in proportion

5

Determine if the ratios 23:7 and 46:14 are in proportion

6

Determine if the ratios 3:2 and 18:12 are in proportion

7

Determine if the ratios 21:17 and 147:119 are in proportion

8

Determine if the ratios 16:19 and 64:76 are in proportion

9

Determine if the ratios 5:2 and 30:12 are in proportion

10

Determine if the ratios 25:14 and 200:112 are in proportion

Solved Worksheet Problems

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1

Determine if the ratios 19:17 and 76:68 are in proportion

The ratios 19:17 and 76:68 are in proportion

step 1

Write the given ratios in fraction form

19:17 =

1917

76:68 =

7668

step 2

Find product of extremes & product of means

19 x 68 = 76 x 17

Extremes = 19, 68

Means = 76, 17

1917

=

7668

Extremes = 19, 68

Means = 76, 17

step 3

Find the product of Extremes & the product of Means

Product of extremes

19 x 68 = 1292

Product of means

76 x 17 = 1292

Product of extremes

19 x 68 = 1292

Product of means

76 x 17 = 1292

step 4

Check if the product of extremes & product of means is equal

Product of Extremes = Product of Means

1292 = 1292

The product of extremes & product of means is equal

Product of Extremes = Product of Means

1292 = 1292

The product of extremes & product of means is equal

step 5

Write the statement

Since the product of extremes & product of means is equal

The given ratios 19:17 and 76:68 are in proportion

Since the product of extremes & product of means is equal

The given ratios 19:17 and 76:68 are in proportion

2

Determine if the ratios 18:25 and 36:50 are in proportion

The ratios 18:25 and 36:50 are in proportion

step 1

Write the given ratios in fraction form

18:25 =

1825

36:50 =

3650

step 2

Find product of extremes & product of means

18 x 50 = 36 x 25

Extremes = 18, 50

Means = 36, 25

1825

=

3650

Extremes = 18, 50

Means = 36, 25

step 3

Find the product of Extremes & the product of Means

Product of extremes

18 x 50 = 900

Product of means

36 x 25 = 900

Product of extremes

18 x 50 = 900

Product of means

36 x 25 = 900

step 4

Check if the product of extremes & product of means is equal

Product of Extremes = Product of Means

900 = 900

The product of extremes & product of means is equal

Product of Extremes = Product of Means

900 = 900

The product of extremes & product of means is equal

step 5

Write the statement

Since the product of extremes & product of means is equal

The given ratios 18:25 and 36:50 are in proportion

Since the product of extremes & product of means is equal

The given ratios 18:25 and 36:50 are in proportion

3

Determine if the ratios 2:10 and 12:60 are in proportion

The ratios 2:10 and 12:60 are in proportion

step 1

Write the given ratios in fraction form

2:10 =

210

12:60 =

1260

step 2

Find product of extremes & product of means

2 x 60 = 12 x 10

Extremes = 2, 60

Means = 12, 10

210

=

1260

Extremes = 2, 60

Means = 12, 10

step 3

Find the product of Extremes & the product of Means

Product of extremes

2 x 60 = 120

Product of means

12 x 10 = 120

Product of extremes

2 x 60 = 120

Product of means

12 x 10 = 120

step 4

Check if the product of extremes & product of means is equal

Product of Extremes = Product of Means

120 = 120

The product of extremes & product of means is equal

Product of Extremes = Product of Means

120 = 120

The product of extremes & product of means is equal

step 5

Write the statement

Since the product of extremes & product of means is equal

The given ratios 2:10 and 12:60 are in proportion

Since the product of extremes & product of means is equal

The given ratios 2:10 and 12:60 are in proportion

4

Determine if the ratios 9:18 and 81:162 are in proportion

The ratios 9:18 and 81:162 are in proportion

step 1

Write the given ratios in fraction form

9:18 =

918

81:162 =

81162

step 2

Find product of extremes & product of means

9 x 162 = 81 x 18

Extremes = 9, 162

Means = 81, 18

918

=

81162

Extremes = 9, 162

Means = 81, 18

step 3

Find the product of Extremes & the product of Means

Product of extremes

9 x 162 = 1458

Product of means

81 x 18 = 1458

Product of extremes

9 x 162 = 1458

Product of means

81 x 18 = 1458

step 4

Check if the product of extremes & product of means is equal

Product of Extremes = Product of Means

1458 = 1458

The product of extremes & product of means is equal

Product of Extremes = Product of Means

1458 = 1458

The product of extremes & product of means is equal

step 5

Write the statement

Since the product of extremes & product of means is equal

The given ratios 9:18 and 81:162 are in proportion

Since the product of extremes & product of means is equal

The given ratios 9:18 and 81:162 are in proportion

5

Determine if the ratios 23:7 and 46:14 are in proportion

The ratios 23:7 and 46:14 are in proportion

step 1

Write the given ratios in fraction form

23:7 =

237

46:14 =

4614

step 2

Find product of extremes & product of means

23 x 14 = 46 x 7

Extremes = 23, 14

Means = 46, 7

237

=

4614

Extremes = 23, 14

Means = 46, 7

step 3

Find the product of Extremes & the product of Means

Product of extremes

23 x 14 = 322

Product of means

46 x 7 = 322

Product of extremes

23 x 14 = 322

Product of means

46 x 7 = 322

step 4

Check if the product of extremes & product of means is equal

Product of Extremes = Product of Means

322 = 322

The product of extremes & product of means is equal

Product of Extremes = Product of Means

322 = 322

The product of extremes & product of means is equal

step 5

Write the statement

Since the product of extremes & product of means is equal

The given ratios 23:7 and 46:14 are in proportion

Since the product of extremes & product of means is equal

The given ratios 23:7 and 46:14 are in proportion

6

Determine if the ratios 3:2 and 18:12 are in proportion

The ratios 3:2 and 18:12 are in proportion

step 1

Write the given ratios in fraction form

3:2 =

32

18:12 =

1812

step 2

Find product of extremes & product of means

3 x 12 = 18 x 2

Extremes = 3, 12

Means = 18, 2

32

=

1812

Extremes = 3, 12

Means = 18, 2

step 3

Find the product of Extremes & the product of Means

Product of extremes

3 x 12 = 36

Product of means

18 x 2 = 36

Product of extremes

3 x 12 = 36

Product of means

18 x 2 = 36

step 4

Check if the product of extremes & product of means is equal

Product of Extremes = Product of Means

36 = 36

The product of extremes & product of means is equal

Product of Extremes = Product of Means

36 = 36

The product of extremes & product of means is equal

step 5

Write the statement

Since the product of extremes & product of means is equal

The given ratios 3:2 and 18:12 are in proportion

Since the product of extremes & product of means is equal

The given ratios 3:2 and 18:12 are in proportion

7

Determine if the ratios 21:17 and 147:119 are in proportion

The ratios 21:17 and 147:119 are in proportion

step 1

Write the given ratios in fraction form

21:17 =

2117

147:119 =

147119

step 2

Find product of extremes & product of means

21 x 119 = 147 x 17

Extremes = 21, 119

Means = 147, 17

2117

=

147119

Extremes = 21, 119

Means = 147, 17

step 3

Find the product of Extremes & the product of Means

Product of extremes

21 x 119 = 2499

Product of means

147 x 17 = 2499

Product of extremes

21 x 119 = 2499

Product of means

147 x 17 = 2499

step 4

Check if the product of extremes & product of means is equal

Product of Extremes = Product of Means

2499 = 2499

The product of extremes & product of means is equal

Product of Extremes = Product of Means

2499 = 2499

The product of extremes & product of means is equal

step 5

Write the statement

Since the product of extremes & product of means is equal

The given ratios 21:17 and 147:119 are in proportion

Since the product of extremes & product of means is equal

The given ratios 21:17 and 147:119 are in proportion

8

Determine if the ratios 16:19 and 64:76 are in proportion

The ratios 16:19 and 64:76 are in proportion

step 1

Write the given ratios in fraction form

16:19 =

1619

64:76 =

6476

step 2

Find product of extremes & product of means

16 x 76 = 64 x 19

Extremes = 16, 76

Means = 64, 19

1619

=

6476

Extremes = 16, 76

Means = 64, 19

step 3

Find the product of Extremes & the product of Means

Product of extremes

16 x 76 = 1216

Product of means

64 x 19 = 1216

Product of extremes

16 x 76 = 1216

Product of means

64 x 19 = 1216

step 4

Check if the product of extremes & product of means is equal

Product of Extremes = Product of Means

1216 = 1216

The product of extremes & product of means is equal

Product of Extremes = Product of Means

1216 = 1216

The product of extremes & product of means is equal

step 5

Write the statement

Since the product of extremes & product of means is equal

The given ratios 16:19 and 64:76 are in proportion

Since the product of extremes & product of means is equal

The given ratios 16:19 and 64:76 are in proportion

9

Determine if the ratios 5:2 and 30:12 are in proportion

The ratios 5:2 and 30:12 are in proportion

step 1

Write the given ratios in fraction form

5:2 =

52

30:12 =

3012

step 2

Find product of extremes & product of means

5 x 12 = 30 x 2

Extremes = 5, 12

Means = 30, 2

52

=

3012

Extremes = 5, 12

Means = 30, 2

step 3

Find the product of Extremes & the product of Means

Product of extremes

5 x 12 = 60

Product of means

30 x 2 = 60

Product of extremes

5 x 12 = 60

Product of means

30 x 2 = 60

step 4

Check if the product of extremes & product of means is equal

Product of Extremes = Product of Means

60 = 60

The product of extremes & product of means is equal

Product of Extremes = Product of Means

60 = 60

The product of extremes & product of means is equal

step 5

Write the statement

Since the product of extremes & product of means is equal

The given ratios 5:2 and 30:12 are in proportion

Since the product of extremes & product of means is equal

The given ratios 5:2 and 30:12 are in proportion

10

Determine if the ratios 25:14 and 200:112 are in proportion

The ratios 25:14 and 200:112 are in proportion

step 1

Write the given ratios in fraction form

25:14 =

2514

200:112 =

200112

step 2

Find product of extremes & product of means

25 x 112 = 200 x 14

Extremes = 25, 112

Means = 200, 14

2514

=

200112

Extremes = 25, 112

Means = 200, 14

step 3

Find the product of Extremes & the product of Means

Product of extremes

25 x 112 = 2800

Product of means

200 x 14 = 2800

Product of extremes

25 x 112 = 2800

Product of means

200 x 14 = 2800

step 4

Check if the product of extremes & product of means is equal

Product of Extremes = Product of Means

2800 = 2800

The product of extremes & product of means is equal

Product of Extremes = Product of Means

2800 = 2800

The product of extremes & product of means is equal

step 5

Write the statement

Since the product of extremes & product of means is equal

The given ratios 25:14 and 200:112 are in proportion

Since the product of extremes & product of means is equal

The given ratios 25:14 and 200:112 are in proportion

Online Test

Start my Challenge

The ratios 18:7 and 126:49 are in proportion

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The ratios 4:23 and 16:115 are in proportion

The ratios 19:16 and 38:32 are in proportion

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The ratios 9:7 and 36:35 are in proportion

Question:

Determine if the ratios 3:15:6 & 4:20:8 are in proportion?

Answer:

Determine if the ratios 3:15:6 & 4:20:8 are in proportion?

Answer:

step 1

Given Ratios are 3:15:6 & 4:20:8

Find the proportion value of each inputs

All the results are equal to each other.

Hence, the given ratios are in proportion.

Find the proportion value of each inputs

34

= 0.75

1520

= 0.75

68

= 0.75

Hence, the given ratios are in proportion.

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