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Finding the Third Proportional to 399,924 and 844,812

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Solution

The third proportional to 399,924 and 844,812 is: 1,784,607.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,924 : 844,812 = 844,812 : x
  2. Step 2: Convert to fraction form
    399,924/844,812 = 844,812/x
  3. Step 3: Cross multiply
    399,924x = 844,812 × 844,812
  4. Step 4: Simplify right side
    399,924x = 713,707,315,344
  5. Step 5: Solve for x
    x = 713,707,315,344/399,924
  6. Step 6: Final answer
    x = 1,784,607.36

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.