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Finding the Third Proportional to 80,478 and 171,351

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Solution

The third proportional to 80,478 and 171,351 is: 364,834.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,478 : 171,351 = 171,351 : x
  2. Step 2: Convert to fraction form
    80,478/171,351 = 171,351/x
  3. Step 3: Cross multiply
    80,478x = 171,351 × 171,351
  4. Step 4: Simplify right side
    80,478x = 29,361,165,201
  5. Step 5: Solve for x
    x = 29,361,165,201/80,478
  6. Step 6: Final answer
    x = 364,834.68

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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.