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Finding the Third Proportional to 338.13 and 517.44

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Solution

The third proportional to 338.13 and 517.44 is: 791.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.13 : 517.44 = 517.44 : x
  2. Step 2: Convert to fraction form
    338.13/517.44 = 517.44/x
  3. Step 3: Cross multiply
    338.13x = 517.44 × 517.44
  4. Step 4: Simplify right side
    338.13x = 267,741.57
  5. Step 5: Solve for x
    x = 267,741.57/338.13
  6. Step 6: Final answer
    x = 791.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.