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Finding the Third Proportional to 311,133 and 682,530

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Solution

The third proportional to 311,133 and 682,530 is: 1,497,260.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,133 : 682,530 = 682,530 : x
  2. Step 2: Convert to fraction form
    311,133/682,530 = 682,530/x
  3. Step 3: Cross multiply
    311,133x = 682,530 × 682,530
  4. Step 4: Simplify right side
    311,133x = 465,847,200,900
  5. Step 5: Solve for x
    x = 465,847,200,900/311,133
  6. Step 6: Final answer
    x = 1,497,260.66

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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.