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Finding the Third Proportional to 61,438 and 129,432

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Solution

The third proportional to 61,438 and 129,432 is: 272,675.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,438 : 129,432 = 129,432 : x
  2. Step 2: Convert to fraction form
    61,438/129,432 = 129,432/x
  3. Step 3: Cross multiply
    61,438x = 129,432 × 129,432
  4. Step 4: Simplify right side
    61,438x = 16,752,642,624
  5. Step 5: Solve for x
    x = 16,752,642,624/61,438
  6. Step 6: Final answer
    x = 272,675.59

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.