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Finding the Third Proportional to 87,539 and 137,178.50

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Solution

The third proportional to 87,539 and 137,178.50 is: 214,966.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,539 : 137,178.50 = 137,178.50 : x
  2. Step 2: Convert to fraction form
    87,539/137,178.50 = 137,178.50/x
  3. Step 3: Cross multiply
    87,539x = 137,178.50 × 137,178.50
  4. Step 4: Simplify right side
    87,539x = 18,817,940,862.25
  5. Step 5: Solve for x
    x = 18,817,940,862.25/87,539
  6. Step 6: Final answer
    x = 214,966.37

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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.