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Finding the Third Proportional to 126,792 and 257,067

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Solution

The third proportional to 126,792 and 257,067 is: 521,195.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,792 : 257,067 = 257,067 : x
  2. Step 2: Convert to fraction form
    126,792/257,067 = 257,067/x
  3. Step 3: Cross multiply
    126,792x = 257,067 × 257,067
  4. Step 4: Simplify right side
    126,792x = 66,083,442,489
  5. Step 5: Solve for x
    x = 66,083,442,489/126,792
  6. Step 6: Final answer
    x = 521,195.68

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.