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Finding the Third Proportional to 311,953 and 682,078

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Solution

The third proportional to 311,953 and 682,078 is: 1,491,347.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,953 : 682,078 = 682,078 : x
  2. Step 2: Convert to fraction form
    311,953/682,078 = 682,078/x
  3. Step 3: Cross multiply
    311,953x = 682,078 × 682,078
  4. Step 4: Simplify right side
    311,953x = 465,230,398,084
  5. Step 5: Solve for x
    x = 465,230,398,084/311,953
  6. Step 6: Final answer
    x = 1,491,347.73

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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.