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Finding the Third Proportional to 33.84 and 83.06

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Solution

The third proportional to 33.84 and 83.06 is: 203.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.84 : 83.06 = 83.06 : x
  2. Step 2: Convert to fraction form
    33.84/83.06 = 83.06/x
  3. Step 3: Cross multiply
    33.84x = 83.06 × 83.06
  4. Step 4: Simplify right side
    33.84x = 6,899.38
  5. Step 5: Solve for x
    x = 6,899.38/33.84
  6. Step 6: Final answer
    x = 203.86

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.