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Finding the Third Proportional to 126,561 and 278,386

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Solution

The third proportional to 126,561 and 278,386 is: 612,343.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,561 : 278,386 = 278,386 : x
  2. Step 2: Convert to fraction form
    126,561/278,386 = 278,386/x
  3. Step 3: Cross multiply
    126,561x = 278,386 × 278,386
  4. Step 4: Simplify right side
    126,561x = 77,498,764,996
  5. Step 5: Solve for x
    x = 77,498,764,996/126,561
  6. Step 6: Final answer
    x = 612,343.18

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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.