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Finding the Third Proportional to 161,568 and 331,182

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Solution

The third proportional to 161,568 and 331,182 is: 678,856.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,568 : 331,182 = 331,182 : x
  2. Step 2: Convert to fraction form
    161,568/331,182 = 331,182/x
  3. Step 3: Cross multiply
    161,568x = 331,182 × 331,182
  4. Step 4: Simplify right side
    161,568x = 109,681,517,124
  5. Step 5: Solve for x
    x = 109,681,517,124/161,568
  6. Step 6: Final answer
    x = 678,856.69

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.