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Finding the Third Proportional to 378,900 and 836,850

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Solution

The third proportional to 378,900 and 836,850 is: 1,848,292.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,900 : 836,850 = 836,850 : x
  2. Step 2: Convert to fraction form
    378,900/836,850 = 836,850/x
  3. Step 3: Cross multiply
    378,900x = 836,850 × 836,850
  4. Step 4: Simplify right side
    378,900x = 700,317,922,500
  5. Step 5: Solve for x
    x = 700,317,922,500/378,900
  6. Step 6: Final answer
    x = 1,848,292.22

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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.