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Finding the Third Proportional to 126,400 and 278,225

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Solution

The third proportional to 126,400 and 278,225 is: 612,414.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,400 : 278,225 = 278,225 : x
  2. Step 2: Convert to fraction form
    126,400/278,225 = 278,225/x
  3. Step 3: Cross multiply
    126,400x = 278,225 × 278,225
  4. Step 4: Simplify right side
    126,400x = 77,409,150,625
  5. Step 5: Solve for x
    x = 77,409,150,625/126,400
  6. Step 6: Final answer
    x = 612,414.17

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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.