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Finding the Third Proportional to 59.52 and 87.68

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Solution

The third proportional to 59.52 and 87.68 is: 129.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.52 : 87.68 = 87.68 : x
  2. Step 2: Convert to fraction form
    59.52/87.68 = 87.68/x
  3. Step 3: Cross multiply
    59.52x = 87.68 × 87.68
  4. Step 4: Simplify right side
    59.52x = 7,687.73
  5. Step 5: Solve for x
    x = 7,687.73/59.52
  6. Step 6: Final answer
    x = 129.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.