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Finding the Third Proportional to 33.05 and 76.64

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Solution

The third proportional to 33.05 and 76.64 is: 177.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.05 : 76.64 = 76.64 : x
  2. Step 2: Convert to fraction form
    33.05/76.64 = 76.64/x
  3. Step 3: Cross multiply
    33.05x = 76.64 × 76.64
  4. Step 4: Simplify right side
    33.05x = 5,873.79
  5. Step 5: Solve for x
    x = 5,873.79/33.05
  6. Step 6: Final answer
    x = 177.74

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.