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Finding the Third Proportional to 122.75 and 166.38

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Solution

The third proportional to 122.75 and 166.38 is: 225.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.75 : 166.38 = 166.38 : x
  2. Step 2: Convert to fraction form
    122.75/166.38 = 166.38/x
  3. Step 3: Cross multiply
    122.75x = 166.38 × 166.38
  4. Step 4: Simplify right side
    122.75x = 27,680.64
  5. Step 5: Solve for x
    x = 27,680.64/122.75
  6. Step 6: Final answer
    x = 225.50

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.