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Finding the Third Proportional to 239.16 and 516.56

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Solution

The third proportional to 239.16 and 516.56 is: 1,115.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.16 : 516.56 = 516.56 : x
  2. Step 2: Convert to fraction form
    239.16/516.56 = 516.56/x
  3. Step 3: Cross multiply
    239.16x = 516.56 × 516.56
  4. Step 4: Simplify right side
    239.16x = 266,836.82
  5. Step 5: Solve for x
    x = 266,836.82/239.16
  6. Step 6: Final answer
    x = 1,115.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.