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Finding the Third Proportional to 126,756 and 278,298

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Solution

The third proportional to 126,756 and 278,298 is: 611,014.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,756 : 278,298 = 278,298 : x
  2. Step 2: Convert to fraction form
    126,756/278,298 = 278,298/x
  3. Step 3: Cross multiply
    126,756x = 278,298 × 278,298
  4. Step 4: Simplify right side
    126,756x = 77,449,776,804
  5. Step 5: Solve for x
    x = 77,449,776,804/126,756
  6. Step 6: Final answer
    x = 611,014.68

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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.