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Finding the Third Proportional to 33,759 and 50,643

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Solution

The third proportional to 33,759 and 50,643 is: 75,971.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,759 : 50,643 = 50,643 : x
  2. Step 2: Convert to fraction form
    33,759/50,643 = 50,643/x
  3. Step 3: Cross multiply
    33,759x = 50,643 × 50,643
  4. Step 4: Simplify right side
    33,759x = 2,564,713,449
  5. Step 5: Solve for x
    x = 2,564,713,449/33,759
  6. Step 6: Final answer
    x = 75,971.25

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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.