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Finding the Third Proportional to 80,397 and 171,863

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Solution

The third proportional to 80,397 and 171,863 is: 367,387.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,397 : 171,863 = 171,863 : x
  2. Step 2: Convert to fraction form
    80,397/171,863 = 171,863/x
  3. Step 3: Cross multiply
    80,397x = 171,863 × 171,863
  4. Step 4: Simplify right side
    80,397x = 29,536,890,769
  5. Step 5: Solve for x
    x = 29,536,890,769/80,397
  6. Step 6: Final answer
    x = 367,387.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.