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Finding the Third Proportional to 399,978 and 844,920

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Solution

The third proportional to 399,978 and 844,920 is: 1,784,822.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,978 : 844,920 = 844,920 : x
  2. Step 2: Convert to fraction form
    399,978/844,920 = 844,920/x
  3. Step 3: Cross multiply
    399,978x = 844,920 × 844,920
  4. Step 4: Simplify right side
    399,978x = 713,889,806,400
  5. Step 5: Solve for x
    x = 713,889,806,400/399,978
  6. Step 6: Final answer
    x = 1,784,822.68

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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.