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Finding the Third Proportional to 80,466 and 176,781

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Solution

The third proportional to 80,466 and 176,781 is: 388,381.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,466 : 176,781 = 176,781 : x
  2. Step 2: Convert to fraction form
    80,466/176,781 = 176,781/x
  3. Step 3: Cross multiply
    80,466x = 176,781 × 176,781
  4. Step 4: Simplify right side
    80,466x = 31,251,521,961
  5. Step 5: Solve for x
    x = 31,251,521,961/80,466
  6. Step 6: Final answer
    x = 388,381.70

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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.