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Finding the Third Proportional to 80,471 and 176,694

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Solution

The third proportional to 80,471 and 176,694 is: 387,975.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,471 : 176,694 = 176,694 : x
  2. Step 2: Convert to fraction form
    80,471/176,694 = 176,694/x
  3. Step 3: Cross multiply
    80,471x = 176,694 × 176,694
  4. Step 4: Simplify right side
    80,471x = 31,220,769,636
  5. Step 5: Solve for x
    x = 31,220,769,636/80,471
  6. Step 6: Final answer
    x = 387,975.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.