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Finding the Third Proportional to 408,909 and 838,215

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Solution

The third proportional to 408,909 and 838,215 is: 1,718,241.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,909 : 838,215 = 838,215 : x
  2. Step 2: Convert to fraction form
    408,909/838,215 = 838,215/x
  3. Step 3: Cross multiply
    408,909x = 838,215 × 838,215
  4. Step 4: Simplify right side
    408,909x = 702,604,386,225
  5. Step 5: Solve for x
    x = 702,604,386,225/408,909
  6. Step 6: Final answer
    x = 1,718,241.43

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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.