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Solving Proportions by Using Cross Products

Solving Proportions by Using Cross Products. Cross Products. When you have two equal ratios (a.k.a. proportion), the cross products are equal to each other. Example: Do the ratios form a proportion? Check by using cross products. 12 x 3 = 36. 9 x 4 = 36. 4. 3. ,. 12. 9.

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Solving Proportions by Using Cross Products

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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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