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Finding the Third Proportional to 81,373 and 129,448

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Solution

The third proportional to 81,373 and 129,448 is: 205,925.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,373 : 129,448 = 129,448 : x
  2. Step 2: Convert to fraction form
    81,373/129,448 = 129,448/x
  3. Step 3: Cross multiply
    81,373x = 129,448 × 129,448
  4. Step 4: Simplify right side
    81,373x = 16,756,784,704
  5. Step 5: Solve for x
    x = 16,756,784,704/81,373
  6. Step 6: Final answer
    x = 205,925.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.