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Finding the Third Proportional to 121.13 and 173.25

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Solution

The third proportional to 121.13 and 173.25 is: 247.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.13 : 173.25 = 173.25 : x
  2. Step 2: Convert to fraction form
    121.13/173.25 = 173.25/x
  3. Step 3: Cross multiply
    121.13x = 173.25 × 173.25
  4. Step 4: Simplify right side
    121.13x = 30,015.56
  5. Step 5: Solve for x
    x = 30,015.56/121.13
  6. Step 6: Final answer
    x = 247.81

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.