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Finding the Third Proportional to 33,044 and 50,552

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Solution

The third proportional to 33,044 and 50,552 is: 77,336.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,044 : 50,552 = 50,552 : x
  2. Step 2: Convert to fraction form
    33,044/50,552 = 50,552/x
  3. Step 3: Cross multiply
    33,044x = 50,552 × 50,552
  4. Step 4: Simplify right side
    33,044x = 2,555,504,704
  5. Step 5: Solve for x
    x = 2,555,504,704/33,044
  6. Step 6: Final answer
    x = 77,336.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.