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Finding the Third Proportional to 83,481 and 125,257.50

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Solution

The third proportional to 83,481 and 125,257.50 is: 187,940.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,481 : 125,257.50 = 125,257.50 : x
  2. Step 2: Convert to fraction form
    83,481/125,257.50 = 125,257.50/x
  3. Step 3: Cross multiply
    83,481x = 125,257.50 × 125,257.50
  4. Step 4: Simplify right side
    83,481x = 15,689,441,306.25
  5. Step 5: Solve for x
    x = 15,689,441,306.25/83,481
  6. Step 6: Final answer
    x = 187,940.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.