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Finding the Third Proportional to 87,414 and 133,665

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Solution

The third proportional to 87,414 and 133,665 is: 204,387.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,414 : 133,665 = 133,665 : x
  2. Step 2: Convert to fraction form
    87,414/133,665 = 133,665/x
  3. Step 3: Cross multiply
    87,414x = 133,665 × 133,665
  4. Step 4: Simplify right side
    87,414x = 17,866,332,225
  5. Step 5: Solve for x
    x = 17,866,332,225/87,414
  6. Step 6: Final answer
    x = 204,387.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.