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Finding the Third Proportional to 179,662 and 391,198

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Solution

The third proportional to 179,662 and 391,198 is: 851,798.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,662 : 391,198 = 391,198 : x
  2. Step 2: Convert to fraction form
    179,662/391,198 = 391,198/x
  3. Step 3: Cross multiply
    179,662x = 391,198 × 391,198
  4. Step 4: Simplify right side
    179,662x = 153,035,875,204
  5. Step 5: Solve for x
    x = 153,035,875,204/179,662
  6. Step 6: Final answer
    x = 851,798.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.