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Finding the Third Proportional to 80,479 and 171,353

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Solution

The third proportional to 80,479 and 171,353 is: 364,838.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,479 : 171,353 = 171,353 : x
  2. Step 2: Convert to fraction form
    80,479/171,353 = 171,353/x
  3. Step 3: Cross multiply
    80,479x = 171,353 × 171,353
  4. Step 4: Simplify right side
    80,479x = 29,361,850,609
  5. Step 5: Solve for x
    x = 29,361,850,609/80,479
  6. Step 6: Final answer
    x = 364,838.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.