MathsEspanol1 min de lecturaActualizado 1 abr 2026

Ratio vs Proportion: What is the Difference?

A comprehensive guide explaining the difference between ratios and proportions, with practical examples and formulas.

Puntos Clave

  • A ratio compares two distinct quantities, like apples to oranges.
  • A proportion is an equation stating that two ratios are equal.
  • Ratios can be simplified just like fractions.
  • Proportions are solved using cross-multiplication.

What is a Ratio?

A ratio is a relationship between two numbers indicating how many times the first number contains the second. For example, if a bowl of fruit contains 8 oranges and 6 lemons, the ratio of oranges to lemons is 8 to 6 (or 8:6). Ratios compare part to part, or part to whole.

What is a Proportion?

A proportion states that two ratios are equivalent. It is an equation linking two ratios. For example, 1/2 = 2/4 is a proportion. Proportions are widely used to scale quantities, such as adjusting a cooking recipe to serve more people.

How to Solve Proportions

The most common method to solve a proportion for an unknown value is cross-multiplication. If A/B = C/D, then A * D = B * C. By knowing three of the variables, you can easily isolate and solve for the fourth.

Real-World Applications

Ratios and proportions appear in everyday tasks: mixing paint colors, calculating speeds, scaling blueprints, exchanging currencies, and adjusting baking recipes.
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