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Finding the Third Proportional to 90,497 and 137,691

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Solution

The third proportional to 90,497 and 137,691 is: 209,496.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,497 : 137,691 = 137,691 : x
  2. Step 2: Convert to fraction form
    90,497/137,691 = 137,691/x
  3. Step 3: Cross multiply
    90,497x = 137,691 × 137,691
  4. Step 4: Simplify right side
    90,497x = 18,958,811,481
  5. Step 5: Solve for x
    x = 18,958,811,481/90,497
  6. Step 6: Final answer
    x = 209,496.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.