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Finding the Third Proportional to 408,897 and 838,199

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Solution

The third proportional to 408,897 and 838,199 is: 1,718,226.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,897 : 838,199 = 838,199 : x
  2. Step 2: Convert to fraction form
    408,897/838,199 = 838,199/x
  3. Step 3: Cross multiply
    408,897x = 838,199 × 838,199
  4. Step 4: Simplify right side
    408,897x = 702,577,563,601
  5. Step 5: Solve for x
    x = 702,577,563,601/408,897
  6. Step 6: Final answer
    x = 1,718,226.26

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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.