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Finding the Third Proportional to 126,846 and 278,802

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Solution

The third proportional to 126,846 and 278,802 is: 612,794.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,846 : 278,802 = 278,802 : x
  2. Step 2: Convert to fraction form
    126,846/278,802 = 278,802/x
  3. Step 3: Cross multiply
    126,846x = 278,802 × 278,802
  4. Step 4: Simplify right side
    126,846x = 77,730,555,204
  5. Step 5: Solve for x
    x = 77,730,555,204/126,846
  6. Step 6: Final answer
    x = 612,794.69

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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.