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Finding the Third Proportional to 90,866 and 137,939

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Solution

The third proportional to 90,866 and 137,939 is: 209,398.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,866 : 137,939 = 137,939 : x
  2. Step 2: Convert to fraction form
    90,866/137,939 = 137,939/x
  3. Step 3: Cross multiply
    90,866x = 137,939 × 137,939
  4. Step 4: Simplify right side
    90,866x = 19,027,167,721
  5. Step 5: Solve for x
    x = 19,027,167,721/90,866
  6. Step 6: Final answer
    x = 209,398.10

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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.