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Finding the Third Proportional to 87,816 and 171,204

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Solution

The third proportional to 87,816 and 171,204 is: 333,775.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,816 : 171,204 = 171,204 : x
  2. Step 2: Convert to fraction form
    87,816/171,204 = 171,204/x
  3. Step 3: Cross multiply
    87,816x = 171,204 × 171,204
  4. Step 4: Simplify right side
    87,816x = 29,310,809,616
  5. Step 5: Solve for x
    x = 29,310,809,616/87,816
  6. Step 6: Final answer
    x = 333,775.28

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.