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Finding the Third Proportional to 33.65 and 52.09

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Solution

The third proportional to 33.65 and 52.09 is: 80.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.65 : 52.09 = 52.09 : x
  2. Step 2: Convert to fraction form
    33.65/52.09 = 52.09/x
  3. Step 3: Cross multiply
    33.65x = 52.09 × 52.09
  4. Step 4: Simplify right side
    33.65x = 2,713.76
  5. Step 5: Solve for x
    x = 2,713.76/33.65
  6. Step 6: Final answer
    x = 80.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.