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Finding the Third Proportional to 126,397.13 and 278,218.13

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Solution

The third proportional to 126,397.13 and 278,218.13 is: 612,397.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,397.13 : 278,218.13 = 278,218.13 : x
  2. Step 2: Convert to fraction form
    126,397.13/278,218.13 = 278,218.13/x
  3. Step 3: Cross multiply
    126,397.13x = 278,218.13 × 278,218.13
  4. Step 4: Simplify right side
    126,397.13x = 77,405,325,078.52
  5. Step 5: Solve for x
    x = 77,405,325,078.52/126,397.13
  6. Step 6: Final answer
    x = 612,397.83

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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.