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Finding the Third Proportional to 382,902 and 844,044

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Solution

The third proportional to 382,902 and 844,044 is: 1,860,555.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,902 : 844,044 = 844,044 : x
  2. Step 2: Convert to fraction form
    382,902/844,044 = 844,044/x
  3. Step 3: Cross multiply
    382,902x = 844,044 × 844,044
  4. Step 4: Simplify right side
    382,902x = 712,410,273,936
  5. Step 5: Solve for x
    x = 712,410,273,936/382,902
  6. Step 6: Final answer
    x = 1,860,555.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.