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Finding the Third Proportional to 62,497 and 87,487

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Solution

The third proportional to 62,497 and 87,487 is: 122,469.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,497 : 87,487 = 87,487 : x
  2. Step 2: Convert to fraction form
    62,497/87,487 = 87,487/x
  3. Step 3: Cross multiply
    62,497x = 87,487 × 87,487
  4. Step 4: Simplify right side
    62,497x = 7,653,975,169
  5. Step 5: Solve for x
    x = 7,653,975,169/62,497
  6. Step 6: Final answer
    x = 122,469.48

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.