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Finding the Third Proportional to 33.82 and 51.08

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Solution

The third proportional to 33.82 and 51.08 is: 77.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.82 : 51.08 = 51.08 : x
  2. Step 2: Convert to fraction form
    33.82/51.08 = 51.08/x
  3. Step 3: Cross multiply
    33.82x = 51.08 × 51.08
  4. Step 4: Simplify right side
    33.82x = 2,609.15
  5. Step 5: Solve for x
    x = 2,609.15/33.82
  6. Step 6: Final answer
    x = 77.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.