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Finding the Third Proportional to 252.44 and 275.56

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Solution

The third proportional to 252.44 and 275.56 is: 300.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.44 : 275.56 = 275.56 : x
  2. Step 2: Convert to fraction form
    252.44/275.56 = 275.56/x
  3. Step 3: Cross multiply
    252.44x = 275.56 × 275.56
  4. Step 4: Simplify right side
    252.44x = 75,934.69
  5. Step 5: Solve for x
    x = 75,934.69/252.44
  6. Step 6: Final answer
    x = 300.81

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.