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Finding the Third Proportional to 126,985 and 278,891

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Solution

The third proportional to 126,985 and 278,891 is: 612,514.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,985 : 278,891 = 278,891 : x
  2. Step 2: Convert to fraction form
    126,985/278,891 = 278,891/x
  3. Step 3: Cross multiply
    126,985x = 278,891 × 278,891
  4. Step 4: Simplify right side
    126,985x = 77,780,189,881
  5. Step 5: Solve for x
    x = 77,780,189,881/126,985
  6. Step 6: Final answer
    x = 612,514.78

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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.