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Finding the Third Proportional to 126,299 and 278,950

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Solution

The third proportional to 126,299 and 278,950 is: 616,102.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,299 : 278,950 = 278,950 : x
  2. Step 2: Convert to fraction form
    126,299/278,950 = 278,950/x
  3. Step 3: Cross multiply
    126,299x = 278,950 × 278,950
  4. Step 4: Simplify right side
    126,299x = 77,813,102,500
  5. Step 5: Solve for x
    x = 77,813,102,500/126,299
  6. Step 6: Final answer
    x = 616,102.29

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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.