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Finding the Third Proportional to 80,042 and 172,498

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Solution

The third proportional to 80,042 and 172,498 is: 371,749.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,042 : 172,498 = 172,498 : x
  2. Step 2: Convert to fraction form
    80,042/172,498 = 172,498/x
  3. Step 3: Cross multiply
    80,042x = 172,498 × 172,498
  4. Step 4: Simplify right side
    80,042x = 29,755,560,004
  5. Step 5: Solve for x
    x = 29,755,560,004/80,042
  6. Step 6: Final answer
    x = 371,749.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.