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Finding the Third Proportional to 126,873 and 278,862.75

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Solution

The third proportional to 126,873 and 278,862.75 is: 612,931.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,873 : 278,862.75 = 278,862.75 : x
  2. Step 2: Convert to fraction form
    126,873/278,862.75 = 278,862.75/x
  3. Step 3: Cross multiply
    126,873x = 278,862.75 × 278,862.75
  4. Step 4: Simplify right side
    126,873x = 77,764,433,337.56
  5. Step 5: Solve for x
    x = 77,764,433,337.56/126,873
  6. Step 6: Final answer
    x = 612,931.30

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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.