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Finding the Third Proportional to 81,263 and 129,767

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Solution

The third proportional to 81,263 and 129,767 is: 207,221.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,263 : 129,767 = 129,767 : x
  2. Step 2: Convert to fraction form
    81,263/129,767 = 129,767/x
  3. Step 3: Cross multiply
    81,263x = 129,767 × 129,767
  4. Step 4: Simplify right side
    81,263x = 16,839,474,289
  5. Step 5: Solve for x
    x = 16,839,474,289/81,263
  6. Step 6: Final answer
    x = 207,221.91

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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.