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Finding the Third Proportional to 321.13 and 517.38

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Solution

The third proportional to 321.13 and 517.38 is: 833.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.13 : 517.38 = 517.38 : x
  2. Step 2: Convert to fraction form
    321.13/517.38 = 517.38/x
  3. Step 3: Cross multiply
    321.13x = 517.38 × 517.38
  4. Step 4: Simplify right side
    321.13x = 267,676.89
  5. Step 5: Solve for x
    x = 267,676.89/321.13
  6. Step 6: Final answer
    x = 833.56

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.