Learning Resources for Write Any Two Proportions by Using Means

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Write Any Two Proportions by Using Means

Name Grade School
Date Questions10 Score

1
Using 8 and 13 as means, write any two proportions.
2
Using 8 and 21 as means, write any two proportions.
3
Using 10 and 17 as means, write any two proportions.
4
Using 7 and 28 as means, write any two proportions.
5
Using 6 and 9 as means, write any two proportions.
6
Using 5 and 22 as means, write any two proportions.
7
Using 5 and 38 as means, write any two proportions.
8
Using 3 and 66 as means, write any two proportions.
9
Using 6 and 6 as means, write any two proportions.
10
Using 2 and 87 as means, write any two proportions.

Answers Key
Show All Workout
1
Using 8 and 13 as means, write any two proportions.
2:8 :: 13:52 and 4:8 :: 13:26
step 1
Find the product of Means
8 x 13 = 104
step 2
If 2 ratios are in proportion, the product of Extremes and product of Means should be equal
Product of Extremes = Product of Means
Product of Extremes = 8 x 13
Product of Extremes = 104
step 3
To find the Extremes, find the factors of 104
Factors of 104 = 2, 4, 52, 26
step 4
Write the possible pair of multiplication factors (Extremes) that makes 104
2 x 52 = 104
4 x 26 = 104
Either 2 & 52 or 4 & 26 are the the Extremes of this proportion
step 5
Apply the Extreme values in the proportion statement
Product of Extremes = Product of Means
2 x 52 = 8 x 13
or
4 x 26 = 8 x 13
or
step 6
Write the above expression in the fraction form
So,
2 x 52 = 8 x 13 can be written as
28
=
1352
similarly,
4 x 26 = 8 x 13 can be written as
48
=
1326
step 7
Write the above fractions in the ratio form
2:8 = 13:52
or
4:8 = 13:26
step 8
Therefore, the two proportions are
2:8 :: 13:52 & 4:8 :: 13:26
2
Using 8 and 21 as means, write any two proportions.
4:8 :: 21:42 and 2:8 :: 21:84
step 1
Find the product of Means
8 x 21 = 168
step 2
If 2 ratios are in proportion, the product of Extremes and product of Means should be equal
Product of Extremes = Product of Means
Product of Extremes = 8 x 21
Product of Extremes = 168
step 3
To find the Extremes, find the factors of 168
Factors of 168 = 4, 2, 42, 84
step 4
Write the possible pair of multiplication factors (Extremes) that makes 168
4 x 42 = 168
2 x 84 = 168
Either 4 & 42 or 2 & 84 are the the Extremes of this proportion
step 5
Apply the Extreme values in the proportion statement
Product of Extremes = Product of Means
4 x 42 = 8 x 21
or
2 x 84 = 8 x 21
or
step 6
Write the above expression in the fraction form
So,
4 x 42 = 8 x 21 can be written as
48
=
2142
similarly,
2 x 84 = 8 x 21 can be written as
28
=
2184
step 7
Write the above fractions in the ratio form
4:8 = 21:42
or
2:8 = 21:84
step 8
Therefore, the two proportions are
4:8 :: 21:42 & 2:8 :: 21:84
3
Using 10 and 17 as means, write any two proportions.
2:10 :: 17:85 and 5:10 :: 17:34
step 1
Find the product of Means
10 x 17 = 170
step 2
If 2 ratios are in proportion, the product of Extremes and product of Means should be equal
Product of Extremes = Product of Means
Product of Extremes = 10 x 17
Product of Extremes = 170
step 3
To find the Extremes, find the factors of 170
Factors of 170 = 2, 5, 85, 34
step 4
Write the possible pair of multiplication factors (Extremes) that makes 170
2 x 85 = 170
5 x 34 = 170
Either 2 & 85 or 5 & 34 are the the Extremes of this proportion
step 5
Apply the Extreme values in the proportion statement
Product of Extremes = Product of Means
2 x 85 = 10 x 17
or
5 x 34 = 10 x 17
or
step 6
Write the above expression in the fraction form
So,
2 x 85 = 10 x 17 can be written as
210
=
1785
similarly,
5 x 34 = 10 x 17 can be written as
510
=
1734
step 7
Write the above fractions in the ratio form
2:10 = 17:85
or
5:10 = 17:34
step 8
Therefore, the two proportions are
2:10 :: 17:85 & 5:10 :: 17:34
4
Using 7 and 28 as means, write any two proportions.
4:7 :: 28:49 and 2:7 :: 28:98
step 1
Find the product of Means
7 x 28 = 196
step 2
If 2 ratios are in proportion, the product of Extremes and product of Means should be equal
Product of Extremes = Product of Means
Product of Extremes = 7 x 28
Product of Extremes = 196
step 3
To find the Extremes, find the factors of 196
Factors of 196 = 4, 2, 49, 98
step 4
Write the possible pair of multiplication factors (Extremes) that makes 196
4 x 49 = 196
2 x 98 = 196
Either 4 & 49 or 2 & 98 are the the Extremes of this proportion
step 5
Apply the Extreme values in the proportion statement
Product of Extremes = Product of Means
4 x 49 = 7 x 28
or
2 x 98 = 7 x 28
or
step 6
Write the above expression in the fraction form
So,
4 x 49 = 7 x 28 can be written as
47
=
2849
similarly,
2 x 98 = 7 x 28 can be written as
27
=
2898
step 7
Write the above fractions in the ratio form
4:7 = 28:49
or
2:7 = 28:98
step 8
Therefore, the two proportions are
4:7 :: 28:49 & 2:7 :: 28:98
5
Using 6 and 9 as means, write any two proportions.
3:6 :: 9:18 and 2:6 :: 9:27
step 1
Find the product of Means
6 x 9 = 54
step 2
If 2 ratios are in proportion, the product of Extremes and product of Means should be equal
Product of Extremes = Product of Means
Product of Extremes = 6 x 9
Product of Extremes = 54
step 3
To find the Extremes, find the factors of 54
Factors of 54 = 3, 2, 18, 27
step 4
Write the possible pair of multiplication factors (Extremes) that makes 54
3 x 18 = 54
2 x 27 = 54
Either 3 & 18 or 2 & 27 are the the Extremes of this proportion
step 5
Apply the Extreme values in the proportion statement
Product of Extremes = Product of Means
3 x 18 = 6 x 9
or
2 x 27 = 6 x 9
or
step 6
Write the above expression in the fraction form
So,
3 x 18 = 6 x 9 can be written as
36
=
918
similarly,
2 x 27 = 6 x 9 can be written as
26
=
927
step 7
Write the above fractions in the ratio form
3:6 = 9:18
or
2:6 = 9:27
step 8
Therefore, the two proportions are
3:6 :: 9:18 & 2:6 :: 9:27
6
Using 5 and 22 as means, write any two proportions.
2:5 :: 22:55 and 10:5 :: 22:11
step 1
Find the product of Means
5 x 22 = 110
step 2
If 2 ratios are in proportion, the product of Extremes and product of Means should be equal
Product of Extremes = Product of Means
Product of Extremes = 5 x 22
Product of Extremes = 110
step 3
To find the Extremes, find the factors of 110
Factors of 110 = 2, 10, 55, 11
step 4
Write the possible pair of multiplication factors (Extremes) that makes 110
2 x 55 = 110
10 x 11 = 110
Either 2 & 55 or 10 & 11 are the the Extremes of this proportion
step 5
Apply the Extreme values in the proportion statement
Product of Extremes = Product of Means
2 x 55 = 5 x 22
or
10 x 11 = 5 x 22
or
step 6
Write the above expression in the fraction form
So,
2 x 55 = 5 x 22 can be written as
25
=
2255
similarly,
10 x 11 = 5 x 22 can be written as
105
=
2211
step 7
Write the above fractions in the ratio form
2:5 = 22:55
or
10:5 = 22:11
step 8
Therefore, the two proportions are
2:5 :: 22:55 & 10:5 :: 22:11
7
Using 5 and 38 as means, write any two proportions.
10:5 :: 38:19 and 2:5 :: 38:95
step 1
Find the product of Means
5 x 38 = 190
step 2
If 2 ratios are in proportion, the product of Extremes and product of Means should be equal
Product of Extremes = Product of Means
Product of Extremes = 5 x 38
Product of Extremes = 190
step 3
To find the Extremes, find the factors of 190
Factors of 190 = 10, 2, 19, 95
step 4
Write the possible pair of multiplication factors (Extremes) that makes 190
10 x 19 = 190
2 x 95 = 190
Either 10 & 19 or 2 & 95 are the the Extremes of this proportion
step 5
Apply the Extreme values in the proportion statement
Product of Extremes = Product of Means
10 x 19 = 5 x 38
or
2 x 95 = 5 x 38
or
step 6
Write the above expression in the fraction form
So,
10 x 19 = 5 x 38 can be written as
105
=
3819
similarly,
2 x 95 = 5 x 38 can be written as
25
=
3895
step 7
Write the above fractions in the ratio form
10:5 = 38:19
or
2:5 = 38:95
step 8
Therefore, the two proportions are
10:5 :: 38:19 & 2:5 :: 38:95
8
Using 3 and 66 as means, write any two proportions.
9:3 :: 66:22 and 11:3 :: 66:18
step 1
Find the product of Means
3 x 66 = 198
step 2
If 2 ratios are in proportion, the product of Extremes and product of Means should be equal
Product of Extremes = Product of Means
Product of Extremes = 3 x 66
Product of Extremes = 198
step 3
To find the Extremes, find the factors of 198
Factors of 198 = 9, 11, 22, 18
step 4
Write the possible pair of multiplication factors (Extremes) that makes 198
9 x 22 = 198
11 x 18 = 198
Either 9 & 22 or 11 & 18 are the the Extremes of this proportion
step 5
Apply the Extreme values in the proportion statement
Product of Extremes = Product of Means
9 x 22 = 3 x 66
or
11 x 18 = 3 x 66
or
step 6
Write the above expression in the fraction form
So,
9 x 22 = 3 x 66 can be written as
93
=
6622
similarly,
11 x 18 = 3 x 66 can be written as
113
=
6618
step 7
Write the above fractions in the ratio form
9:3 = 66:22
or
11:3 = 66:18
step 8
Therefore, the two proportions are
9:3 :: 66:22 & 11:3 :: 66:18
9
Using 6 and 6 as means, write any two proportions.
3:6 :: 6:12 and 4:6 :: 6:9
step 1
Find the product of Means
6 x 6 = 36
step 2
If 2 ratios are in proportion, the product of Extremes and product of Means should be equal
Product of Extremes = Product of Means
Product of Extremes = 6 x 6
Product of Extremes = 36
step 3
To find the Extremes, find the factors of 36
Factors of 36 = 3, 4, 12, 9
step 4
Write the possible pair of multiplication factors (Extremes) that makes 36
3 x 12 = 36
4 x 9 = 36
Either 3 & 12 or 4 & 9 are the the Extremes of this proportion
step 5
Apply the Extreme values in the proportion statement
Product of Extremes = Product of Means
3 x 12 = 6 x 6
or
4 x 9 = 6 x 6
or
step 6
Write the above expression in the fraction form
So,
3 x 12 = 6 x 6 can be written as
36
=
612
similarly,
4 x 9 = 6 x 6 can be written as
46
=
69
step 7
Write the above fractions in the ratio form
3:6 = 6:12
or
4:6 = 6:9
step 8
Therefore, the two proportions are
3:6 :: 6:12 & 4:6 :: 6:9
10
Using 2 and 87 as means, write any two proportions.
3:2 :: 87:58 and 6:2 :: 87:29
step 1
Find the product of Means
2 x 87 = 174
step 2
If 2 ratios are in proportion, the product of Extremes and product of Means should be equal
Product of Extremes = Product of Means
Product of Extremes = 2 x 87
Product of Extremes = 174
step 3
To find the Extremes, find the factors of 174
Factors of 174 = 3, 6, 58, 29
step 4
Write the possible pair of multiplication factors (Extremes) that makes 174
3 x 58 = 174
6 x 29 = 174
Either 3 & 58 or 6 & 29 are the the Extremes of this proportion
step 5
Apply the Extreme values in the proportion statement
Product of Extremes = Product of Means
3 x 58 = 2 x 87
or
6 x 29 = 2 x 87
or
step 6
Write the above expression in the fraction form
So,
3 x 58 = 2 x 87 can be written as
32
=
8758
similarly,
6 x 29 = 2 x 87 can be written as
62
=
8729
step 7
Write the above fractions in the ratio form
3:2 = 87:58
or
6:2 = 87:29
step 8
Therefore, the two proportions are
3:2 :: 87:58 & 6:2 :: 87:29

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