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Finding the Third Proportional to 380,716 and 836,198

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Solution

The third proportional to 380,716 and 836,198 is: 1,836,610.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,716 : 836,198 = 836,198 : x
  2. Step 2: Convert to fraction form
    380,716/836,198 = 836,198/x
  3. Step 3: Cross multiply
    380,716x = 836,198 × 836,198
  4. Step 4: Simplify right side
    380,716x = 699,227,095,204
  5. Step 5: Solve for x
    x = 699,227,095,204/380,716
  6. Step 6: Final answer
    x = 1,836,610.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.