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Finding the Third Proportional to 408,895 and 838,195

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Solution

The third proportional to 408,895 and 838,195 is: 1,718,218.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,895 : 838,195 = 838,195 : x
  2. Step 2: Convert to fraction form
    408,895/838,195 = 838,195/x
  3. Step 3: Cross multiply
    408,895x = 838,195 × 838,195
  4. Step 4: Simplify right side
    408,895x = 702,570,858,025
  5. Step 5: Solve for x
    x = 702,570,858,025/408,895
  6. Step 6: Final answer
    x = 1,718,218.27

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.