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Finding the Third Proportional to 126,311 and 278,974

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Solution

The third proportional to 126,311 and 278,974 is: 616,149.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,311 : 278,974 = 278,974 : x
  2. Step 2: Convert to fraction form
    126,311/278,974 = 278,974/x
  3. Step 3: Cross multiply
    126,311x = 278,974 × 278,974
  4. Step 4: Simplify right side
    126,311x = 77,826,492,676
  5. Step 5: Solve for x
    x = 77,826,492,676/126,311
  6. Step 6: Final answer
    x = 616,149.76

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.