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Finding the Third Proportional to 87,471 and 137,514

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Solution

The third proportional to 87,471 and 137,514 is: 216,187.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,471 : 137,514 = 137,514 : x
  2. Step 2: Convert to fraction form
    87,471/137,514 = 137,514/x
  3. Step 3: Cross multiply
    87,471x = 137,514 × 137,514
  4. Step 4: Simplify right side
    87,471x = 18,910,100,196
  5. Step 5: Solve for x
    x = 18,910,100,196/87,471
  6. Step 6: Final answer
    x = 216,187.08

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.