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Understanding Proportions: Ratios, Cross-Multiplication, and Real-Life Examples

This guide introduces the concept of proportions as an equality of two ratios. It covers how to determine if pairs of ratios form a proportion and explains the process of solving proportions through cross-multiplication. Engaging examples highlight practical applications, such as calculating costs and ingredient quantities. Learn to solve proportion problems, including how many tea bags are needed for multiple gallons of iced tea or how long it takes a newborn's heart to beat a certain number of times. Homework opportunities are included for practice.

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Understanding Proportions: Ratios, Cross-Multiplication, and Real-Life Examples

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  1. Proportions 6.2

  2. Proportion • An equality of two ratios

  3. Examples

  4. Tell whether each pair of ratio forms a proportion

  5. To Solve a Proportion • In a proportion the cross products are equal • Cross multiply • Set products equal • Solve for your variable

  6. Example

  7. Example:

  8. 20lb for $27.50; 12 lbs for x dollars

  9. 3 tea bags are needed to make a gallon of iced tea. How many tea bags are needed to make four gallons?

  10. In how many seconds will a newborn’s heart beat 35 times?

  11. Homework you will have time in class tomorrow to work on it 

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