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Finding the Third Proportional to 115.66 and 244.31

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Solution

The third proportional to 115.66 and 244.31 is: 516.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.66 : 244.31 = 244.31 : x
  2. Step 2: Convert to fraction form
    115.66/244.31 = 244.31/x
  3. Step 3: Cross multiply
    115.66x = 244.31 × 244.31
  4. Step 4: Simplify right side
    115.66x = 59,685.02
  5. Step 5: Solve for x
    x = 59,685.02/115.66
  6. Step 6: Final answer
    x = 516.06

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.