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Finding the Third Proportional to 204,840 and 447,198

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Solution

The third proportional to 204,840 and 447,198 is: 976,303.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,840 : 447,198 = 447,198 : x
  2. Step 2: Convert to fraction form
    204,840/447,198 = 447,198/x
  3. Step 3: Cross multiply
    204,840x = 447,198 × 447,198
  4. Step 4: Simplify right side
    204,840x = 199,986,051,204
  5. Step 5: Solve for x
    x = 199,986,051,204/204,840
  6. Step 6: Final answer
    x = 976,303.71

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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.