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Finding the Third Proportional to 81,898 and 179,374

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Solution

The third proportional to 81,898 and 179,374 is: 392,867.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,898 : 179,374 = 179,374 : x
  2. Step 2: Convert to fraction form
    81,898/179,374 = 179,374/x
  3. Step 3: Cross multiply
    81,898x = 179,374 × 179,374
  4. Step 4: Simplify right side
    81,898x = 32,175,031,876
  5. Step 5: Solve for x
    x = 32,175,031,876/81,898
  6. Step 6: Final answer
    x = 392,867.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.