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Finding the Third Proportional to 378,744 and 821,868

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Solution

The third proportional to 378,744 and 821,868 is: 1,783,439.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,744 : 821,868 = 821,868 : x
  2. Step 2: Convert to fraction form
    378,744/821,868 = 821,868/x
  3. Step 3: Cross multiply
    378,744x = 821,868 × 821,868
  4. Step 4: Simplify right side
    378,744x = 675,467,009,424
  5. Step 5: Solve for x
    x = 675,467,009,424/378,744
  6. Step 6: Final answer
    x = 1,783,439.50

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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.