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Finding the Third Proportional to 122.34 and 177.61

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Solution

The third proportional to 122.34 and 177.61 is: 257.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.34 : 177.61 = 177.61 : x
  2. Step 2: Convert to fraction form
    122.34/177.61 = 177.61/x
  3. Step 3: Cross multiply
    122.34x = 177.61 × 177.61
  4. Step 4: Simplify right side
    122.34x = 31,545.09
  5. Step 5: Solve for x
    x = 31,545.09/122.34
  6. Step 6: Final answer
    x = 257.84

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.