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Finding the Third Proportional to 121.88 and 173.94

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Solution

The third proportional to 121.88 and 173.94 is: 248.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.88 : 173.94 = 173.94 : x
  2. Step 2: Convert to fraction form
    121.88/173.94 = 173.94/x
  3. Step 3: Cross multiply
    121.88x = 173.94 × 173.94
  4. Step 4: Simplify right side
    121.88x = 30,254.25
  5. Step 5: Solve for x
    x = 30,254.25/121.88
  6. Step 6: Final answer
    x = 248.24

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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.