Proportions

Solve proportions and scale problems

Start with the basics and progress through 3 lessons. Each lesson builds on the previous one.

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10 questions, new mix each time (from 47)

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In This Topic (3 lessons)

Proportions are equations stating that two ratios are equal. Solving proportions using cross-multiplication is a fundamental skill used in scaling, map reading, cooking conversions, and countless real-world applications.

What You'll Learn

  • Set up proportions from word problems
  • Solve proportions using cross-multiplication
  • Identify when proportions apply
  • Check solutions by verifying ratios are equal
  • Apply proportions to real-world situations

Frequently Asked Questions

What is a proportion?

A proportion states that two ratios are equal: $\frac{a}{b} = \frac{c}{d}$. If you know three values, you can find the fourth.

How does cross-multiplication work?

For $\frac{a}{b} = \frac{c}{d}$, cross-multiply to get $ad = bc$. This creates an equation you can solve for the unknown.

When do I use proportions?

Use proportions when quantities change together at a constant rate: recipes, maps, similar figures, unit conversions, and scale models.