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Finding the Third Proportional to 80,341 and 169,711

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Solution

The third proportional to 80,341 and 169,711 is: 358,494.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,341 : 169,711 = 169,711 : x
  2. Step 2: Convert to fraction form
    80,341/169,711 = 169,711/x
  3. Step 3: Cross multiply
    80,341x = 169,711 × 169,711
  4. Step 4: Simplify right side
    80,341x = 28,801,823,521
  5. Step 5: Solve for x
    x = 28,801,823,521/80,341
  6. Step 6: Final answer
    x = 358,494.71

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.