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Finding the Third Proportional to 218.43 and 475.19

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Solution

The third proportional to 218.43 and 475.19 is: 1,033.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.43 : 475.19 = 475.19 : x
  2. Step 2: Convert to fraction form
    218.43/475.19 = 475.19/x
  3. Step 3: Cross multiply
    218.43x = 475.19 × 475.19
  4. Step 4: Simplify right side
    218.43x = 225,805.02
  5. Step 5: Solve for x
    x = 225,805.02/218.43
  6. Step 6: Final answer
    x = 1,033.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.