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Finding the Third Proportional to 60,498 and 138,861

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Solution

The third proportional to 60,498 and 138,861 is: 318,727.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,498 : 138,861 = 138,861 : x
  2. Step 2: Convert to fraction form
    60,498/138,861 = 138,861/x
  3. Step 3: Cross multiply
    60,498x = 138,861 × 138,861
  4. Step 4: Simplify right side
    60,498x = 19,282,377,321
  5. Step 5: Solve for x
    x = 19,282,377,321/60,498
  6. Step 6: Final answer
    x = 318,727.52

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.