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Finding the Third Proportional to 381,162 and 561,183

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Solution

The third proportional to 381,162 and 561,183 is: 826,227.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,162 : 561,183 = 561,183 : x
  2. Step 2: Convert to fraction form
    381,162/561,183 = 561,183/x
  3. Step 3: Cross multiply
    381,162x = 561,183 × 561,183
  4. Step 4: Simplify right side
    381,162x = 314,926,359,489
  5. Step 5: Solve for x
    x = 314,926,359,489/381,162
  6. Step 6: Final answer
    x = 826,227.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.