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Finding the Third Proportional to 33.09 and 72.66

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Solution

The third proportional to 33.09 and 72.66 is: 159.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.09 : 72.66 = 72.66 : x
  2. Step 2: Convert to fraction form
    33.09/72.66 = 72.66/x
  3. Step 3: Cross multiply
    33.09x = 72.66 × 72.66
  4. Step 4: Simplify right side
    33.09x = 5,278.93
  5. Step 5: Solve for x
    x = 5,278.93/33.09
  6. Step 6: Final answer
    x = 159.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.