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Finding the Third Proportional to 231.47 and 451.27

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Solution

The third proportional to 231.47 and 451.27 is: 879.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.47 : 451.27 = 451.27 : x
  2. Step 2: Convert to fraction form
    231.47/451.27 = 451.27/x
  3. Step 3: Cross multiply
    231.47x = 451.27 × 451.27
  4. Step 4: Simplify right side
    231.47x = 203,640.66
  5. Step 5: Solve for x
    x = 203,640.66/231.47
  6. Step 6: Final answer
    x = 879.78

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.