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Finding the Third Proportional to 81,414 and 177,516

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Solution

The third proportional to 81,414 and 177,516 is: 387,057.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,414 : 177,516 = 177,516 : x
  2. Step 2: Convert to fraction form
    81,414/177,516 = 177,516/x
  3. Step 3: Cross multiply
    81,414x = 177,516 × 177,516
  4. Step 4: Simplify right side
    81,414x = 31,511,930,256
  5. Step 5: Solve for x
    x = 31,511,930,256/81,414
  6. Step 6: Final answer
    x = 387,057.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.