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Finding the Third Proportional to 33,849 and 78,021

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Solution

The third proportional to 33,849 and 78,021 is: 179,836.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,849 : 78,021 = 78,021 : x
  2. Step 2: Convert to fraction form
    33,849/78,021 = 78,021/x
  3. Step 3: Cross multiply
    33,849x = 78,021 × 78,021
  4. Step 4: Simplify right side
    33,849x = 6,087,276,441
  5. Step 5: Solve for x
    x = 6,087,276,441/33,849
  6. Step 6: Final answer
    x = 179,836.23

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.