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Finding the Third Proportional to 122.34 and 173.95

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Solution

The third proportional to 122.34 and 173.95 is: 247.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.34 : 173.95 = 173.95 : x
  2. Step 2: Convert to fraction form
    122.34/173.95 = 173.95/x
  3. Step 3: Cross multiply
    122.34x = 173.95 × 173.95
  4. Step 4: Simplify right side
    122.34x = 30,259.69
  5. Step 5: Solve for x
    x = 30,259.69/122.34
  6. Step 6: Final answer
    x = 247.33

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.