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Finding the Third Proportional to 110.74 and 239.84

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Solution

The third proportional to 110.74 and 239.84 is: 519.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.74 : 239.84 = 239.84 : x
  2. Step 2: Convert to fraction form
    110.74/239.84 = 239.84/x
  3. Step 3: Cross multiply
    110.74x = 239.84 × 239.84
  4. Step 4: Simplify right side
    110.74x = 57,521.28
  5. Step 5: Solve for x
    x = 57,521.28/110.74
  6. Step 6: Final answer
    x = 519.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.