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Finding the Third Proportional to 33.07 and 69.81

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Solution

The third proportional to 33.07 and 69.81 is: 147.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.07 : 69.81 = 69.81 : x
  2. Step 2: Convert to fraction form
    33.07/69.81 = 69.81/x
  3. Step 3: Cross multiply
    33.07x = 69.81 × 69.81
  4. Step 4: Simplify right side
    33.07x = 4,873.76
  5. Step 5: Solve for x
    x = 4,873.76/33.07
  6. Step 6: Final answer
    x = 147.38

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.