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Finding the Third Proportional to 218.06 and 408.56

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Solution

The third proportional to 218.06 and 408.56 is: 765.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.06 : 408.56 = 408.56 : x
  2. Step 2: Convert to fraction form
    218.06/408.56 = 408.56/x
  3. Step 3: Cross multiply
    218.06x = 408.56 × 408.56
  4. Step 4: Simplify right side
    218.06x = 166,923.32
  5. Step 5: Solve for x
    x = 166,923.32/218.06
  6. Step 6: Final answer
    x = 765.48

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.