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Finding the Third Proportional to 75.21 and 121.49

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Solution

The third proportional to 75.21 and 121.49 is: 196.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.21 : 121.49 = 121.49 : x
  2. Step 2: Convert to fraction form
    75.21/121.49 = 121.49/x
  3. Step 3: Cross multiply
    75.21x = 121.49 × 121.49
  4. Step 4: Simplify right side
    75.21x = 14,759.03
  5. Step 5: Solve for x
    x = 14,759.03/75.21
  6. Step 6: Final answer
    x = 196.25

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.