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Finding the Third Proportional to 33,783 and 78,198

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Solution

The third proportional to 33,783 and 78,198 is: 181,006.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,783 : 78,198 = 78,198 : x
  2. Step 2: Convert to fraction form
    33,783/78,198 = 78,198/x
  3. Step 3: Cross multiply
    33,783x = 78,198 × 78,198
  4. Step 4: Simplify right side
    33,783x = 6,114,927,204
  5. Step 5: Solve for x
    x = 6,114,927,204/33,783
  6. Step 6: Final answer
    x = 181,006.04

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.