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Finding the Third Proportional to 378,648.75 and 820,383.56

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Solution

The third proportional to 378,648.75 and 820,383.56 is: 1,777,449.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,648.75 : 820,383.56 = 820,383.56 : x
  2. Step 2: Convert to fraction form
    378,648.75/820,383.56 = 820,383.56/x
  3. Step 3: Cross multiply
    378,648.75x = 820,383.56 × 820,383.56
  4. Step 4: Simplify right side
    378,648.75x = 673,029,189,620.19
  5. Step 5: Solve for x
    x = 673,029,189,620.19/378,648.75
  6. Step 6: Final answer
    x = 1,777,449.92

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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.