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Finding the Third Proportional to 311,622 and 682,212

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Solution

The third proportional to 311,622 and 682,212 is: 1,493,518.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,622 : 682,212 = 682,212 : x
  2. Step 2: Convert to fraction form
    311,622/682,212 = 682,212/x
  3. Step 3: Cross multiply
    311,622x = 682,212 × 682,212
  4. Step 4: Simplify right side
    311,622x = 465,413,212,944
  5. Step 5: Solve for x
    x = 465,413,212,944/311,622
  6. Step 6: Final answer
    x = 1,493,518.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.