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Finding the Third Proportional to 33.83 and 80.26

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Solution

The third proportional to 33.83 and 80.26 is: 190.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.83 : 80.26 = 80.26 : x
  2. Step 2: Convert to fraction form
    33.83/80.26 = 80.26/x
  3. Step 3: Cross multiply
    33.83x = 80.26 × 80.26
  4. Step 4: Simplify right side
    33.83x = 6,441.65
  5. Step 5: Solve for x
    x = 6,441.65/33.83
  6. Step 6: Final answer
    x = 190.40

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.