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Finding the Third Proportional to 378,891 and 836,832

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Solution

The third proportional to 378,891 and 836,832 is: 1,848,256.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,891 : 836,832 = 836,832 : x
  2. Step 2: Convert to fraction form
    378,891/836,832 = 836,832/x
  3. Step 3: Cross multiply
    378,891x = 836,832 × 836,832
  4. Step 4: Simplify right side
    378,891x = 700,287,796,224
  5. Step 5: Solve for x
    x = 700,287,796,224/378,891
  6. Step 6: Final answer
    x = 1,848,256.61

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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.