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Finding the Third Proportional to 87,313 and 129,331

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Solution

The third proportional to 87,313 and 129,331 is: 191,569.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,313 : 129,331 = 129,331 : x
  2. Step 2: Convert to fraction form
    87,313/129,331 = 129,331/x
  3. Step 3: Cross multiply
    87,313x = 129,331 × 129,331
  4. Step 4: Simplify right side
    87,313x = 16,726,507,561
  5. Step 5: Solve for x
    x = 16,726,507,561/87,313
  6. Step 6: Final answer
    x = 191,569.50

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.