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Finding the Third Proportional to 126,662 and 278,604

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Solution

The third proportional to 126,662 and 278,604 is: 612,813.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,662 : 278,604 = 278,604 : x
  2. Step 2: Convert to fraction form
    126,662/278,604 = 278,604/x
  3. Step 3: Cross multiply
    126,662x = 278,604 × 278,604
  4. Step 4: Simplify right side
    126,662x = 77,620,188,816
  5. Step 5: Solve for x
    x = 77,620,188,816/126,662
  6. Step 6: Final answer
    x = 612,813.54

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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.