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Finding the Third Proportional to 118.44 and 233.88

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Solution

The third proportional to 118.44 and 233.88 is: 461.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.44 : 233.88 = 233.88 : x
  2. Step 2: Convert to fraction form
    118.44/233.88 = 233.88/x
  3. Step 3: Cross multiply
    118.44x = 233.88 × 233.88
  4. Step 4: Simplify right side
    118.44x = 54,697.52
  5. Step 5: Solve for x
    x = 54,697.52/118.44
  6. Step 6: Final answer
    x = 461.83

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.