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Finding the Third Proportional to 33,836 and 50,619

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Solution

The third proportional to 33,836 and 50,619 is: 75,726.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,836 : 50,619 = 50,619 : x
  2. Step 2: Convert to fraction form
    33,836/50,619 = 50,619/x
  3. Step 3: Cross multiply
    33,836x = 50,619 × 50,619
  4. Step 4: Simplify right side
    33,836x = 2,562,283,161
  5. Step 5: Solve for x
    x = 2,562,283,161/33,836
  6. Step 6: Final answer
    x = 75,726.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.