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ZingPath: Ratios, Rates, and Proportions

Solving Problems Using Proportions

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Ratios, Rates, and Proportions

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Lesson Focus

Solving Problems Using Proportions

Math Foundations

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Choose the amount of colors and mix them to paint a room and solve the given problem using proportions.

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Now You Know

After completing this tutorial, you will be able to complete the following:

  • Identify proportions
  • Use ratios and proportions to represent quantitative relationships.
  • Pose and solve problems using proportions.

Everything You'll Have Covered

To find the missing value in a proportion, we can apply the Cross Product Property.

If a equals the quantity of blue paint and b equals the quantity of red paint, a + b would equal the quantity of mixed paint. Let's assume that there are 5 gallons of blue paint used (a = 5) and 10 gallons of red paint used (b = 10). The total amount of mixed paint (a + b) would be 15. If we are asked how many gallons of blue paint would be needed if we had 30 gallons of mixed paint, we could find the answer by using the Cross Product Property.

The first and last terms of a proportion are called extremes. The middle terms are called the means.

  • Cross Product Property - in a proportion, the product of the means is equal to the product of the extremes
  • proportion - an equation when it states equality between two ratios
  • ratio - a comparison of two numbers or quantities

Tutorial Details

Approximate Time 20 Minutes
Pre-requisite Concepts equivalent fractions, proportions, ratios
Course Math Foundations
Type of Tutorial Skills Application
Key Vocabulary equivalent proportion, proportion, ratio