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Finding the Third Proportional to 218.60 and 475.66

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Solution

The third proportional to 218.60 and 475.66 is: 1,035.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.60 : 475.66 = 475.66 : x
  2. Step 2: Convert to fraction form
    218.60/475.66 = 475.66/x
  3. Step 3: Cross multiply
    218.60x = 475.66 × 475.66
  4. Step 4: Simplify right side
    218.60x = 226,256.30
  5. Step 5: Solve for x
    x = 226,256.30/218.60
  6. Step 6: Final answer
    x = 1,035.02

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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.