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Finding the Third Proportional to 122.31 and 179.13

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Solution

The third proportional to 122.31 and 179.13 is: 262.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.31 : 179.13 = 179.13 : x
  2. Step 2: Convert to fraction form
    122.31/179.13 = 179.13/x
  3. Step 3: Cross multiply
    122.31x = 179.13 × 179.13
  4. Step 4: Simplify right side
    122.31x = 32,085.77
  5. Step 5: Solve for x
    x = 32,085.77/122.31
  6. Step 6: Final answer
    x = 262.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.