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Finding the Third Proportional to 118.69 and 148.97

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Solution

The third proportional to 118.69 and 148.97 is: 186.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.69 : 148.97 = 148.97 : x
  2. Step 2: Convert to fraction form
    118.69/148.97 = 148.97/x
  3. Step 3: Cross multiply
    118.69x = 148.97 × 148.97
  4. Step 4: Simplify right side
    118.69x = 22,191.69
  5. Step 5: Solve for x
    x = 22,191.69/118.69
  6. Step 6: Final answer
    x = 186.98

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.