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Finding the Third Proportional to 87,732 and 137,484

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Solution

The third proportional to 87,732 and 137,484 is: 215,449.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,732 : 137,484 = 137,484 : x
  2. Step 2: Convert to fraction form
    87,732/137,484 = 137,484/x
  3. Step 3: Cross multiply
    87,732x = 137,484 × 137,484
  4. Step 4: Simplify right side
    87,732x = 18,901,850,256
  5. Step 5: Solve for x
    x = 18,901,850,256/87,732
  6. Step 6: Final answer
    x = 215,449.90

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.