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Finding the Third Proportional to 118.48 and 179.54

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Solution

The third proportional to 118.48 and 179.54 is: 272.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.48 : 179.54 = 179.54 : x
  2. Step 2: Convert to fraction form
    118.48/179.54 = 179.54/x
  3. Step 3: Cross multiply
    118.48x = 179.54 × 179.54
  4. Step 4: Simplify right side
    118.48x = 32,235.68
  5. Step 5: Solve for x
    x = 32,235.68/118.48
  6. Step 6: Final answer
    x = 272.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.