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Finding the Third Proportional to 218.44 and 276.97

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Solution

The third proportional to 218.44 and 276.97 is: 351.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.44 : 276.97 = 276.97 : x
  2. Step 2: Convert to fraction form
    218.44/276.97 = 276.97/x
  3. Step 3: Cross multiply
    218.44x = 276.97 × 276.97
  4. Step 4: Simplify right side
    218.44x = 76,711.69
  5. Step 5: Solve for x
    x = 76,711.69/218.44
  6. Step 6: Final answer
    x = 351.18

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.