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Finding the Third Proportional to 378,400 and 827,846

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Solution

The third proportional to 378,400 and 827,846 is: 1,811,123.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,400 : 827,846 = 827,846 : x
  2. Step 2: Convert to fraction form
    378,400/827,846 = 827,846/x
  3. Step 3: Cross multiply
    378,400x = 827,846 × 827,846
  4. Step 4: Simplify right side
    378,400x = 685,328,999,716
  5. Step 5: Solve for x
    x = 685,328,999,716/378,400
  6. Step 6: Final answer
    x = 1,811,123.15

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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.