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Finding the Third Proportional to 315,182 and 682,876

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Solution

The third proportional to 315,182 and 682,876 is: 1,479,524.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,182 : 682,876 = 682,876 : x
  2. Step 2: Convert to fraction form
    315,182/682,876 = 682,876/x
  3. Step 3: Cross multiply
    315,182x = 682,876 × 682,876
  4. Step 4: Simplify right side
    315,182x = 466,319,631,376
  5. Step 5: Solve for x
    x = 466,319,631,376/315,182
  6. Step 6: Final answer
    x = 1,479,524.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.