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Finding the Third Proportional to 126,865 and 278,839

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Solution

The third proportional to 126,865 and 278,839 is: 612,865.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,865 : 278,839 = 278,839 : x
  2. Step 2: Convert to fraction form
    126,865/278,839 = 278,839/x
  3. Step 3: Cross multiply
    126,865x = 278,839 × 278,839
  4. Step 4: Simplify right side
    126,865x = 77,751,187,921
  5. Step 5: Solve for x
    x = 77,751,187,921/126,865
  6. Step 6: Final answer
    x = 612,865.55

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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.