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Finding the Third Proportional to 361.56 and 516.69

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Solution

The third proportional to 361.56 and 516.69 is: 738.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.56 : 516.69 = 516.69 : x
  2. Step 2: Convert to fraction form
    361.56/516.69 = 516.69/x
  3. Step 3: Cross multiply
    361.56x = 516.69 × 516.69
  4. Step 4: Simplify right side
    361.56x = 266,965.97
  5. Step 5: Solve for x
    x = 266,965.97/361.56
  6. Step 6: Final answer
    x = 738.37

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.