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Finding the Third Proportional to 378,809 and 813,067

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Solution

The third proportional to 378,809 and 813,067 is: 1,745,148.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,809 : 813,067 = 813,067 : x
  2. Step 2: Convert to fraction form
    378,809/813,067 = 813,067/x
  3. Step 3: Cross multiply
    378,809x = 813,067 × 813,067
  4. Step 4: Simplify right side
    378,809x = 661,077,946,489
  5. Step 5: Solve for x
    x = 661,077,946,489/378,809
  6. Step 6: Final answer
    x = 1,745,148.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.