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Finding the Third Proportional to 63,469 and 137,863

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Solution

The third proportional to 63,469 and 137,863 is: 299,456.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,469 : 137,863 = 137,863 : x
  2. Step 2: Convert to fraction form
    63,469/137,863 = 137,863/x
  3. Step 3: Cross multiply
    63,469x = 137,863 × 137,863
  4. Step 4: Simplify right side
    63,469x = 19,006,206,769
  5. Step 5: Solve for x
    x = 19,006,206,769/63,469
  6. Step 6: Final answer
    x = 299,456.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.