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Finding the Third Proportional to 33,831 and 73,076.63

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Solution

The third proportional to 33,831 and 73,076.63 is: 157,849.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,831 : 73,076.63 = 73,076.63 : x
  2. Step 2: Convert to fraction form
    33,831/73,076.63 = 73,076.63/x
  3. Step 3: Cross multiply
    33,831x = 73,076.63 × 73,076.63
  4. Step 4: Simplify right side
    33,831x = 5,340,193,121.39
  5. Step 5: Solve for x
    x = 5,340,193,121.39/33,831
  6. Step 6: Final answer
    x = 157,849.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.