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Finding the Third Proportional to 110.81 and 239.34

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Solution

The third proportional to 110.81 and 239.34 is: 516.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.81 : 239.34 = 239.34 : x
  2. Step 2: Convert to fraction form
    110.81/239.34 = 239.34/x
  3. Step 3: Cross multiply
    110.81x = 239.34 × 239.34
  4. Step 4: Simplify right side
    110.81x = 57,285.43
  5. Step 5: Solve for x
    x = 57,285.43/110.81
  6. Step 6: Final answer
    x = 516.96

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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.