How to Create a Proportion? (+FREE Worksheet!)

Related Topics

• How to Simplify Ratios
• How to Find Proportional Ratios
• How to Find Similarity and Ratios

Step by step guide to creating a proportion

• A proportion contains two equal fractions! A proportion simply means that two fractions are equal.
• To create a proportion, simply find (or create) two equal fractions.

Create a Proportion For education statistics and research

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Create a Proportion, Example 1:

Express ratios as a Proportion and solve.
(180) miles on (9) gallons of gas, how many miles on (1) gallon of gas?

Solution:

First create a propotion: (frac{9}{180}=frac{1}{x}→9 × x=180 × 1⇒ 9x=180)

Divide to find (?)(:x= frac {180}{9} →x=20).

Then: (20) miles per gallon

Create a Proportion, Example 2:

State if this pair of ratios form a proportion. (frac{2}{3}) and (frac{12}{30})

Solution:

Use cross multiplication: (frac{2}{3}=frac{12}{30}→2 × 30=12 × 3→60=36), which is not correct. Therefore, this pair of ratios doesn’t form a proportion.

Create a Proportion, Example 3:

Express ratios as a Proportion.
(120) miles on (4) gallons of gas, how many miles on (1) gallon of gas?

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Solution:

First create a proportion: (frac{4}{120}=frac{1}{x}→4 × x=120 × 1 ⇒ 4x=120)

Divide to find (?)(:x= frac {120}{4} →x=30).

Then: (30) miles per gallon

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Create a Proportion, Example 4:

State if this pair of ratios form a proportion. (frac{3}{5}) and (frac{24}{45})

Solution:

Use cross multiplication: (frac{3}{5}=frac{24}{45}→3×45=5×24→135=120), which is not correct. Therefore, this pair of ratios doesn’t form a proportion.

Exercises for Creating a Proportion

Create a Proportion

Create proportion from the given set of numbers.

• (color{blue}{1, 6, 2, 3})
• (color{blue}{12, 144, 1, 12})
• (color{blue}{16, 4, 8, 2})
• (color{blue}{9, 5, 27, 15})
• (color{blue}{7, 10, 60, 42})
• (color{blue}{8, 7, 24, 21})

• (color{blue}{1: 3 = 2: 6})
• (color{blue}{12: 144 = 1: 12})
• (color{blue}{2: 4 = 8: 16})
• (color{blue}{5: 15 = 9: 27})
• (color{blue}{7: 42= 10: 60})
• (color{blue}{7: 21 = 8: 24})

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