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Finding the Third Proportional to 81,367 and 176,267

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Solution

The third proportional to 81,367 and 176,267 is: 381,850.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,367 : 176,267 = 176,267 : x
  2. Step 2: Convert to fraction form
    81,367/176,267 = 176,267/x
  3. Step 3: Cross multiply
    81,367x = 176,267 × 176,267
  4. Step 4: Simplify right side
    81,367x = 31,070,055,289
  5. Step 5: Solve for x
    x = 31,070,055,289/81,367
  6. Step 6: Final answer
    x = 381,850.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.