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Finding the Third Proportional to 275.44 and 363.56

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Solution

The third proportional to 275.44 and 363.56 is: 479.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.44 : 363.56 = 363.56 : x
  2. Step 2: Convert to fraction form
    275.44/363.56 = 363.56/x
  3. Step 3: Cross multiply
    275.44x = 363.56 × 363.56
  4. Step 4: Simplify right side
    275.44x = 132,177.69
  5. Step 5: Solve for x
    x = 132,177.69/275.44
  6. Step 6: Final answer
    x = 479.88

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.