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Finding the Third Proportional to 126,876 and 278,857

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Solution

The third proportional to 126,876 and 278,857 is: 612,891.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,876 : 278,857 = 278,857 : x
  2. Step 2: Convert to fraction form
    126,876/278,857 = 278,857/x
  3. Step 3: Cross multiply
    126,876x = 278,857 × 278,857
  4. Step 4: Simplify right side
    126,876x = 77,761,226,449
  5. Step 5: Solve for x
    x = 77,761,226,449/126,876
  6. Step 6: Final answer
    x = 612,891.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.