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Finding the Third Proportional to 204,578 and 275,190

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Solution

The third proportional to 204,578 and 275,190 is: 370,174.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,578 : 275,190 = 275,190 : x
  2. Step 2: Convert to fraction form
    204,578/275,190 = 275,190/x
  3. Step 3: Cross multiply
    204,578x = 275,190 × 275,190
  4. Step 4: Simplify right side
    204,578x = 75,729,536,100
  5. Step 5: Solve for x
    x = 75,729,536,100/204,578
  6. Step 6: Final answer
    x = 370,174.39

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.