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Finding the Third Proportional to 121.92 and 177.61

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Solution

The third proportional to 121.92 and 177.61 is: 258.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.92 : 177.61 = 177.61 : x
  2. Step 2: Convert to fraction form
    121.92/177.61 = 177.61/x
  3. Step 3: Cross multiply
    121.92x = 177.61 × 177.61
  4. Step 4: Simplify right side
    121.92x = 31,545.09
  5. Step 5: Solve for x
    x = 31,545.09/121.92
  6. Step 6: Final answer
    x = 258.73

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.