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Finding the Third Proportional to 408,907 and 838,211

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Solution

The third proportional to 408,907 and 838,211 is: 1,718,233.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,907 : 838,211 = 838,211 : x
  2. Step 2: Convert to fraction form
    408,907/838,211 = 838,211/x
  3. Step 3: Cross multiply
    408,907x = 838,211 × 838,211
  4. Step 4: Simplify right side
    408,907x = 702,597,680,521
  5. Step 5: Solve for x
    x = 702,597,680,521/408,907
  6. Step 6: Final answer
    x = 1,718,233.44

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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.