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Finding the Third Proportional to 378,888 and 836,826

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Solution

The third proportional to 378,888 and 836,826 is: 1,848,244.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,888 : 836,826 = 836,826 : x
  2. Step 2: Convert to fraction form
    378,888/836,826 = 836,826/x
  3. Step 3: Cross multiply
    378,888x = 836,826 × 836,826
  4. Step 4: Simplify right side
    378,888x = 700,277,754,276
  5. Step 5: Solve for x
    x = 700,277,754,276/378,888
  6. Step 6: Final answer
    x = 1,848,244.74

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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.