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Finding the Third Proportional to 81,253 and 129,750

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Solution

The third proportional to 81,253 and 129,750 is: 207,193.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,253 : 129,750 = 129,750 : x
  2. Step 2: Convert to fraction form
    81,253/129,750 = 129,750/x
  3. Step 3: Cross multiply
    81,253x = 129,750 × 129,750
  4. Step 4: Simplify right side
    81,253x = 16,835,062,500
  5. Step 5: Solve for x
    x = 16,835,062,500/81,253
  6. Step 6: Final answer
    x = 207,193.12

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.