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Finding the Third Proportional to 126,856 and 278,822

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Solution

The third proportional to 126,856 and 278,822 is: 612,834.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,856 : 278,822 = 278,822 : x
  2. Step 2: Convert to fraction form
    126,856/278,822 = 278,822/x
  3. Step 3: Cross multiply
    126,856x = 278,822 × 278,822
  4. Step 4: Simplify right side
    126,856x = 77,741,707,684
  5. Step 5: Solve for x
    x = 77,741,707,684/126,856
  6. Step 6: Final answer
    x = 612,834.30

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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.