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Finding the Third Proportional to 378,978 and 821,694.75

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Solution

The third proportional to 378,978 and 821,694.75 is: 1,781,586.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,978 : 821,694.75 = 821,694.75 : x
  2. Step 2: Convert to fraction form
    378,978/821,694.75 = 821,694.75/x
  3. Step 3: Cross multiply
    378,978x = 821,694.75 × 821,694.75
  4. Step 4: Simplify right side
    378,978x = 675,182,262,177.56
  5. Step 5: Solve for x
    x = 675,182,262,177.56/378,978
  6. Step 6: Final answer
    x = 1,781,586.96

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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.