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Finding the Third Proportional to 59,949 and 129,402

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Solution

The third proportional to 59,949 and 129,402 is: 279,318.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,949 : 129,402 = 129,402 : x
  2. Step 2: Convert to fraction form
    59,949/129,402 = 129,402/x
  3. Step 3: Cross multiply
    59,949x = 129,402 × 129,402
  4. Step 4: Simplify right side
    59,949x = 16,744,877,604
  5. Step 5: Solve for x
    x = 16,744,877,604/59,949
  6. Step 6: Final answer
    x = 279,318.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.