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Finding the Third Proportional to 218.34 and 475.22

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Solution

The third proportional to 218.34 and 475.22 is: 1,034.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.34 : 475.22 = 475.22 : x
  2. Step 2: Convert to fraction form
    218.34/475.22 = 475.22/x
  3. Step 3: Cross multiply
    218.34x = 475.22 × 475.22
  4. Step 4: Simplify right side
    218.34x = 225,832.86
  5. Step 5: Solve for x
    x = 225,832.86/218.34
  6. Step 6: Final answer
    x = 1,034.30

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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.