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Finding the Third Proportional to 275,204 and 366,980

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Solution

The third proportional to 275,204 and 366,980 is: 489,361.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,204 : 366,980 = 366,980 : x
  2. Step 2: Convert to fraction form
    275,204/366,980 = 366,980/x
  3. Step 3: Cross multiply
    275,204x = 366,980 × 366,980
  4. Step 4: Simplify right side
    275,204x = 134,674,320,400
  5. Step 5: Solve for x
    x = 134,674,320,400/275,204
  6. Step 6: Final answer
    x = 489,361.78

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.