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Finding the Third Proportional to 81,554 and 172,909

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Solution

The third proportional to 81,554 and 172,909 is: 366,597.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,554 : 172,909 = 172,909 : x
  2. Step 2: Convert to fraction form
    81,554/172,909 = 172,909/x
  3. Step 3: Cross multiply
    81,554x = 172,909 × 172,909
  4. Step 4: Simplify right side
    81,554x = 29,897,522,281
  5. Step 5: Solve for x
    x = 29,897,522,281/81,554
  6. Step 6: Final answer
    x = 366,597.86

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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.