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Finding the Third Proportional to 122.25 and 132.94

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Solution

The third proportional to 122.25 and 132.94 is: 144.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.25 : 132.94 = 132.94 : x
  2. Step 2: Convert to fraction form
    122.25/132.94 = 132.94/x
  3. Step 3: Cross multiply
    122.25x = 132.94 × 132.94
  4. Step 4: Simplify right side
    122.25x = 17,672.38
  5. Step 5: Solve for x
    x = 17,672.38/122.25
  6. Step 6: Final answer
    x = 144.56

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.