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Finding the Third Proportional to 311,108 and 682,478

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Solution

The third proportional to 311,108 and 682,478 is: 1,497,152.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,108 : 682,478 = 682,478 : x
  2. Step 2: Convert to fraction form
    311,108/682,478 = 682,478/x
  3. Step 3: Cross multiply
    311,108x = 682,478 × 682,478
  4. Step 4: Simplify right side
    311,108x = 465,776,220,484
  5. Step 5: Solve for x
    x = 465,776,220,484/311,108
  6. Step 6: Final answer
    x = 1,497,152.82

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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.