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Finding the Third Proportional to 81,424 and 127,626

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Solution

The third proportional to 81,424 and 127,626 is: 200,044.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,424 : 127,626 = 127,626 : x
  2. Step 2: Convert to fraction form
    81,424/127,626 = 127,626/x
  3. Step 3: Cross multiply
    81,424x = 127,626 × 127,626
  4. Step 4: Simplify right side
    81,424x = 16,288,395,876
  5. Step 5: Solve for x
    x = 16,288,395,876/81,424
  6. Step 6: Final answer
    x = 200,044.16

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.