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Finding the Third Proportional to 80,790 and 172,812

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Solution

The third proportional to 80,790 and 172,812 is: 369,649.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,790 : 172,812 = 172,812 : x
  2. Step 2: Convert to fraction form
    80,790/172,812 = 172,812/x
  3. Step 3: Cross multiply
    80,790x = 172,812 × 172,812
  4. Step 4: Simplify right side
    80,790x = 29,863,987,344
  5. Step 5: Solve for x
    x = 29,863,987,344/80,790
  6. Step 6: Final answer
    x = 369,649.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.