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Finding the Third Proportional to 80,564 and 176,680

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Solution

The third proportional to 80,564 and 176,680 is: 387,466.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,564 : 176,680 = 176,680 : x
  2. Step 2: Convert to fraction form
    80,564/176,680 = 176,680/x
  3. Step 3: Cross multiply
    80,564x = 176,680 × 176,680
  4. Step 4: Simplify right side
    80,564x = 31,215,822,400
  5. Step 5: Solve for x
    x = 31,215,822,400/80,564
  6. Step 6: Final answer
    x = 387,466.14

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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.