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Finding the Third Proportional to 33,833 and 73,081

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Solution

The third proportional to 33,833 and 73,081 is: 157,858.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,833 : 73,081 = 73,081 : x
  2. Step 2: Convert to fraction form
    33,833/73,081 = 73,081/x
  3. Step 3: Cross multiply
    33,833x = 73,081 × 73,081
  4. Step 4: Simplify right side
    33,833x = 5,340,832,561
  5. Step 5: Solve for x
    x = 5,340,832,561/33,833
  6. Step 6: Final answer
    x = 157,858.68

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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.