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Finding the Third Proportional to 126,656 and 278,592

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Solution

The third proportional to 126,656 and 278,592 is: 612,789.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,656 : 278,592 = 278,592 : x
  2. Step 2: Convert to fraction form
    126,656/278,592 = 278,592/x
  3. Step 3: Cross multiply
    126,656x = 278,592 × 278,592
  4. Step 4: Simplify right side
    126,656x = 77,613,502,464
  5. Step 5: Solve for x
    x = 77,613,502,464/126,656
  6. Step 6: Final answer
    x = 612,789.78

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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.