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Finding the Third Proportional to 33.13 and 80.56

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Solution

The third proportional to 33.13 and 80.56 is: 195.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.13 : 80.56 = 80.56 : x
  2. Step 2: Convert to fraction form
    33.13/80.56 = 80.56/x
  3. Step 3: Cross multiply
    33.13x = 80.56 × 80.56
  4. Step 4: Simplify right side
    33.13x = 6,490.32
  5. Step 5: Solve for x
    x = 6,490.32/33.13
  6. Step 6: Final answer
    x = 195.93

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.