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Finding the Third Proportional to 87.57 and 132.42

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Solution

The third proportional to 87.57 and 132.42 is: 200.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.57 : 132.42 = 132.42 : x
  2. Step 2: Convert to fraction form
    87.57/132.42 = 132.42/x
  3. Step 3: Cross multiply
    87.57x = 132.42 × 132.42
  4. Step 4: Simplify right side
    87.57x = 17,534.00
  5. Step 5: Solve for x
    x = 17,534.00/87.57
  6. Step 6: Final answer
    x = 200.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.