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Finding the Third Proportional to 331.38 and 516.44

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Solution

The third proportional to 331.38 and 516.44 is: 804.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.38 : 516.44 = 516.44 : x
  2. Step 2: Convert to fraction form
    331.38/516.44 = 516.44/x
  3. Step 3: Cross multiply
    331.38x = 516.44 × 516.44
  4. Step 4: Simplify right side
    331.38x = 266,707.69
  5. Step 5: Solve for x
    x = 266,707.69/331.38
  6. Step 6: Final answer
    x = 804.85

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.