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Finding the Third Proportional to 13.84 and 33.37

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Solution

The third proportional to 13.84 and 33.37 is: 80.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.84 : 33.37 = 33.37 : x
  2. Step 2: Convert to fraction form
    13.84/33.37 = 33.37/x
  3. Step 3: Cross multiply
    13.84x = 33.37 × 33.37
  4. Step 4: Simplify right side
    13.84x = 1,113.25
  5. Step 5: Solve for x
    x = 1,113.25/13.84
  6. Step 6: Final answer
    x = 80.43

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.