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Finding the Third Proportional to 122.06 and 166.78

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Solution

The third proportional to 122.06 and 166.78 is: 227.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.06 : 166.78 = 166.78 : x
  2. Step 2: Convert to fraction form
    122.06/166.78 = 166.78/x
  3. Step 3: Cross multiply
    122.06x = 166.78 × 166.78
  4. Step 4: Simplify right side
    122.06x = 27,815.99
  5. Step 5: Solve for x
    x = 27,815.99/122.06
  6. Step 6: Final answer
    x = 227.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.