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Finding the Third Proportional to 33,788 and 78,302

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Solution

The third proportional to 33,788 and 78,302 is: 181,460.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,788 : 78,302 = 78,302 : x
  2. Step 2: Convert to fraction form
    33,788/78,302 = 78,302/x
  3. Step 3: Cross multiply
    33,788x = 78,302 × 78,302
  4. Step 4: Simplify right side
    33,788x = 6,131,203,204
  5. Step 5: Solve for x
    x = 6,131,203,204/33,788
  6. Step 6: Final answer
    x = 181,460.97

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.