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Finding the Third Proportional to 379,933 and 822,912

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Solution

The third proportional to 379,933 and 822,912 is: 1,782,377.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,933 : 822,912 = 822,912 : x
  2. Step 2: Convert to fraction form
    379,933/822,912 = 822,912/x
  3. Step 3: Cross multiply
    379,933x = 822,912 × 822,912
  4. Step 4: Simplify right side
    379,933x = 677,184,159,744
  5. Step 5: Solve for x
    x = 677,184,159,744/379,933
  6. Step 6: Final answer
    x = 1,782,377.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.