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Finding the Third Proportional to 206,838 and 449,198

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Solution

The third proportional to 206,838 and 449,198 is: 975,540.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,838 : 449,198 = 449,198 : x
  2. Step 2: Convert to fraction form
    206,838/449,198 = 449,198/x
  3. Step 3: Cross multiply
    206,838x = 449,198 × 449,198
  4. Step 4: Simplify right side
    206,838x = 201,778,843,204
  5. Step 5: Solve for x
    x = 201,778,843,204/206,838
  6. Step 6: Final answer
    x = 975,540.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.