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Finding the Third Proportional to 311,616 and 682,200

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Solution

The third proportional to 311,616 and 682,200 is: 1,493,494.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,616 : 682,200 = 682,200 : x
  2. Step 2: Convert to fraction form
    311,616/682,200 = 682,200/x
  3. Step 3: Cross multiply
    311,616x = 682,200 × 682,200
  4. Step 4: Simplify right side
    311,616x = 465,396,840,000
  5. Step 5: Solve for x
    x = 465,396,840,000/311,616
  6. Step 6: Final answer
    x = 1,493,494.69

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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.