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Finding the Third Proportional to 311,541 and 682,041

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Solution

The third proportional to 311,541 and 682,041 is: 1,493,157.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,541 : 682,041 = 682,041 : x
  2. Step 2: Convert to fraction form
    311,541/682,041 = 682,041/x
  3. Step 3: Cross multiply
    311,541x = 682,041 × 682,041
  4. Step 4: Simplify right side
    311,541x = 465,179,925,681
  5. Step 5: Solve for x
    x = 465,179,925,681/311,541
  6. Step 6: Final answer
    x = 1,493,157.97

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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.