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Finding the Third Proportional to 81,427 and 166,801

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Solution

The third proportional to 81,427 and 166,801 is: 341,687.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,427 : 166,801 = 166,801 : x
  2. Step 2: Convert to fraction form
    81,427/166,801 = 166,801/x
  3. Step 3: Cross multiply
    81,427x = 166,801 × 166,801
  4. Step 4: Simplify right side
    81,427x = 27,822,573,601
  5. Step 5: Solve for x
    x = 27,822,573,601/81,427
  6. Step 6: Final answer
    x = 341,687.32

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.