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Finding the Third Proportional to 179,201 and 391,198

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Solution

The third proportional to 179,201 and 391,198 is: 853,990.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,201 : 391,198 = 391,198 : x
  2. Step 2: Convert to fraction form
    179,201/391,198 = 391,198/x
  3. Step 3: Cross multiply
    179,201x = 391,198 × 391,198
  4. Step 4: Simplify right side
    179,201x = 153,035,875,204
  5. Step 5: Solve for x
    x = 153,035,875,204/179,201
  6. Step 6: Final answer
    x = 853,990.07

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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.