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Finding the Third Proportional to 399,930 and 844,824

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Solution

The third proportional to 399,930 and 844,824 is: 1,784,631.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,930 : 844,824 = 844,824 : x
  2. Step 2: Convert to fraction form
    399,930/844,824 = 844,824/x
  3. Step 3: Cross multiply
    399,930x = 844,824 × 844,824
  4. Step 4: Simplify right side
    399,930x = 713,727,590,976
  5. Step 5: Solve for x
    x = 713,727,590,976/399,930
  6. Step 6: Final answer
    x = 1,784,631.29

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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.