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Finding the Third Proportional to 33.42 and 80.99

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Solution

The third proportional to 33.42 and 80.99 is: 196.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.42 : 80.99 = 80.99 : x
  2. Step 2: Convert to fraction form
    33.42/80.99 = 80.99/x
  3. Step 3: Cross multiply
    33.42x = 80.99 × 80.99
  4. Step 4: Simplify right side
    33.42x = 6,559.57
  5. Step 5: Solve for x
    x = 6,559.57/33.42
  6. Step 6: Final answer
    x = 196.25

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.