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Finding the Third Proportional to 33.10 and 50.37

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Solution

The third proportional to 33.10 and 50.37 is: 76.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.10 : 50.37 = 50.37 : x
  2. Step 2: Convert to fraction form
    33.10/50.37 = 50.37/x
  3. Step 3: Cross multiply
    33.10x = 50.37 × 50.37
  4. Step 4: Simplify right side
    33.10x = 2,536.93
  5. Step 5: Solve for x
    x = 2,536.93/33.10
  6. Step 6: Final answer
    x = 76.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.