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Finding the Third Proportional to 229.25 and 251.13

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Solution

The third proportional to 229.25 and 251.13 is: 275.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.25 : 251.13 = 251.13 : x
  2. Step 2: Convert to fraction form
    229.25/251.13 = 251.13/x
  3. Step 3: Cross multiply
    229.25x = 251.13 × 251.13
  4. Step 4: Simplify right side
    229.25x = 63,063.77
  5. Step 5: Solve for x
    x = 63,063.77/229.25
  6. Step 6: Final answer
    x = 275.09

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.