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Finding the Third Proportional to 126,981 and 278,883

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Solution

The third proportional to 126,981 and 278,883 is: 612,498.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,981 : 278,883 = 278,883 : x
  2. Step 2: Convert to fraction form
    126,981/278,883 = 278,883/x
  3. Step 3: Cross multiply
    126,981x = 278,883 × 278,883
  4. Step 4: Simplify right side
    126,981x = 77,775,727,689
  5. Step 5: Solve for x
    x = 77,775,727,689/126,981
  6. Step 6: Final answer
    x = 612,498.94

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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.