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Finding the Third Proportional to 378,892 and 836,834

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Solution

The third proportional to 378,892 and 836,834 is: 1,848,260.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,892 : 836,834 = 836,834 : x
  2. Step 2: Convert to fraction form
    378,892/836,834 = 836,834/x
  3. Step 3: Cross multiply
    378,892x = 836,834 × 836,834
  4. Step 4: Simplify right side
    378,892x = 700,291,143,556
  5. Step 5: Solve for x
    x = 700,291,143,556/378,892
  6. Step 6: Final answer
    x = 1,848,260.57

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.