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Finding the Third Proportional to 378,398 and 827,842

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Solution

The third proportional to 378,398 and 827,842 is: 1,811,115.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,398 : 827,842 = 827,842 : x
  2. Step 2: Convert to fraction form
    378,398/827,842 = 827,842/x
  3. Step 3: Cross multiply
    378,398x = 827,842 × 827,842
  4. Step 4: Simplify right side
    378,398x = 685,322,376,964
  5. Step 5: Solve for x
    x = 685,322,376,964/378,398
  6. Step 6: Final answer
    x = 1,811,115.22

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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.