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Finding the Third Proportional to 126,876 and 278,868

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Solution

The third proportional to 126,876 and 278,868 is: 612,939.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,876 : 278,868 = 278,868 : x
  2. Step 2: Convert to fraction form
    126,876/278,868 = 278,868/x
  3. Step 3: Cross multiply
    126,876x = 278,868 × 278,868
  4. Step 4: Simplify right side
    126,876x = 77,767,361,424
  5. Step 5: Solve for x
    x = 77,767,361,424/126,876
  6. Step 6: Final answer
    x = 612,939.89

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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.