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Finding the Third Proportional to 80,379 and 172,422

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Solution

The third proportional to 80,379 and 172,422 is: 369,864.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,379 : 172,422 = 172,422 : x
  2. Step 2: Convert to fraction form
    80,379/172,422 = 172,422/x
  3. Step 3: Cross multiply
    80,379x = 172,422 × 172,422
  4. Step 4: Simplify right side
    80,379x = 29,729,346,084
  5. Step 5: Solve for x
    x = 29,729,346,084/80,379
  6. Step 6: Final answer
    x = 369,864.59

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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.