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Finding the Third Proportional to 81,500 and 172,812

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Solution

The third proportional to 81,500 and 172,812 is: 366,429.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,500 : 172,812 = 172,812 : x
  2. Step 2: Convert to fraction form
    81,500/172,812 = 172,812/x
  3. Step 3: Cross multiply
    81,500x = 172,812 × 172,812
  4. Step 4: Simplify right side
    81,500x = 29,863,987,344
  5. Step 5: Solve for x
    x = 29,863,987,344/81,500
  6. Step 6: Final answer
    x = 366,429.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.