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Finding the Third Proportional to 110.38 and 194.88

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Solution

The third proportional to 110.38 and 194.88 is: 344.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.38 : 194.88 = 194.88 : x
  2. Step 2: Convert to fraction form
    110.38/194.88 = 194.88/x
  3. Step 3: Cross multiply
    110.38x = 194.88 × 194.88
  4. Step 4: Simplify right side
    110.38x = 37,976.27
  5. Step 5: Solve for x
    x = 37,976.27/110.38
  6. Step 6: Final answer
    x = 344.07

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.