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Finding the Third Proportional to 378,414 and 827,856

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Solution

The third proportional to 378,414 and 827,856 is: 1,811,099.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,414 : 827,856 = 827,856 : x
  2. Step 2: Convert to fraction form
    378,414/827,856 = 827,856/x
  3. Step 3: Cross multiply
    378,414x = 827,856 × 827,856
  4. Step 4: Simplify right side
    378,414x = 685,345,556,736
  5. Step 5: Solve for x
    x = 685,345,556,736/378,414
  6. Step 6: Final answer
    x = 1,811,099.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.