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Finding the Third Proportional to 122.19 and 169.97

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Solution

The third proportional to 122.19 and 169.97 is: 236.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.19 : 169.97 = 169.97 : x
  2. Step 2: Convert to fraction form
    122.19/169.97 = 169.97/x
  3. Step 3: Cross multiply
    122.19x = 169.97 × 169.97
  4. Step 4: Simplify right side
    122.19x = 28,889.38
  5. Step 5: Solve for x
    x = 28,889.38/122.19
  6. Step 6: Final answer
    x = 236.43

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.