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Finding the Third Proportional to 229.31 and 249.56

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Solution

The third proportional to 229.31 and 249.56 is: 271.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.31 : 249.56 = 249.56 : x
  2. Step 2: Convert to fraction form
    229.31/249.56 = 249.56/x
  3. Step 3: Cross multiply
    229.31x = 249.56 × 249.56
  4. Step 4: Simplify right side
    229.31x = 62,281.44
  5. Step 5: Solve for x
    x = 62,281.44/229.31
  6. Step 6: Final answer
    x = 271.60

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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.