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Finding the Third Proportional to 131,162 and 285,682

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Solution

The third proportional to 131,162 and 285,682 is: 622,239.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,162 : 285,682 = 285,682 : x
  2. Step 2: Convert to fraction form
    131,162/285,682 = 285,682/x
  3. Step 3: Cross multiply
    131,162x = 285,682 × 285,682
  4. Step 4: Simplify right side
    131,162x = 81,614,205,124
  5. Step 5: Solve for x
    x = 81,614,205,124/131,162
  6. Step 6: Final answer
    x = 622,239.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.