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Finding the Third Proportional to 408,996 and 838,350

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Solution

The third proportional to 408,996 and 838,350 is: 1,718,429.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,996 : 838,350 = 838,350 : x
  2. Step 2: Convert to fraction form
    408,996/838,350 = 838,350/x
  3. Step 3: Cross multiply
    408,996x = 838,350 × 838,350
  4. Step 4: Simplify right side
    408,996x = 702,830,722,500
  5. Step 5: Solve for x
    x = 702,830,722,500/408,996
  6. Step 6: Final answer
    x = 1,718,429.33

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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.