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Finding the Third Proportional to 381,086 and 836,908

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Solution

The third proportional to 381,086 and 836,908 is: 1,837,944.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,086 : 836,908 = 836,908 : x
  2. Step 2: Convert to fraction form
    381,086/836,908 = 836,908/x
  3. Step 3: Cross multiply
    381,086x = 836,908 × 836,908
  4. Step 4: Simplify right side
    381,086x = 700,415,000,464
  5. Step 5: Solve for x
    x = 700,415,000,464/381,086
  6. Step 6: Final answer
    x = 1,837,944.72

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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.