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Finding the Third Proportional to 148.88 and 171.19

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Solution

The third proportional to 148.88 and 171.19 is: 196.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.88 : 171.19 = 171.19 : x
  2. Step 2: Convert to fraction form
    148.88/171.19 = 171.19/x
  3. Step 3: Cross multiply
    148.88x = 171.19 × 171.19
  4. Step 4: Simplify right side
    148.88x = 29,305.16
  5. Step 5: Solve for x
    x = 29,305.16/148.88
  6. Step 6: Final answer
    x = 196.84

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.