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Finding the Third Proportional to 80,318 and 172,849

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Solution

The third proportional to 80,318 and 172,849 is: 371,981.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,318 : 172,849 = 172,849 : x
  2. Step 2: Convert to fraction form
    80,318/172,849 = 172,849/x
  3. Step 3: Cross multiply
    80,318x = 172,849 × 172,849
  4. Step 4: Simplify right side
    80,318x = 29,876,776,801
  5. Step 5: Solve for x
    x = 29,876,776,801/80,318
  6. Step 6: Final answer
    x = 371,981.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.