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Finding the Third Proportional to 371,268 and 809,198

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Solution

The third proportional to 371,268 and 809,198 is: 1,763,689.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,268 : 809,198 = 809,198 : x
  2. Step 2: Convert to fraction form
    371,268/809,198 = 809,198/x
  3. Step 3: Cross multiply
    371,268x = 809,198 × 809,198
  4. Step 4: Simplify right side
    371,268x = 654,801,403,204
  5. Step 5: Solve for x
    x = 654,801,403,204/371,268
  6. Step 6: Final answer
    x = 1,763,689.31

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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.