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Proportions Using Cross Products for Homework Practice

Learn how to solve proportions by comparing cross products. See examples to determine if ratios form a proportion or not. Practice solving proportions using cross products step-by-step in a workbook.

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Proportions Using Cross Products for Homework Practice

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  1. Solving Proportions by Using Cross Products

  2. Cross Products • When you have two equal ratios (a.k.a. proportion), the cross products are equal to each other.

  3. Example: Do the ratios form a proportion? Check by using cross products. 12 x 3 = 36 9 x 4 = 36 4 3 , 12 9 These two ratios DO form a proportion because their cross products are the same.

  4. Example 2 3 x 5 = 15 8 x 2 = 16 5 2 , 8 3 No, these two ratios DO NOT form a proportion, because their cross products are different.

  5. Solving a Proportion by Using Cross Products • Set the cross products equal to each other. • Use division to get the variable by itself.

  6. Example: Solve the Proportion 20 k Cross multiply. = 17 68 Set cross products equal to each other. 68k = 340 ÷ k 5 To solve for “k,” divide 340 by 68. =

  7. Homework Time Practice Wkbk – Lesson 8.5

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