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Finding the Third Proportional to 311,228 and 682,714

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Solution

The third proportional to 311,228 and 682,714 is: 1,497,610.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,228 : 682,714 = 682,714 : x
  2. Step 2: Convert to fraction form
    311,228/682,714 = 682,714/x
  3. Step 3: Cross multiply
    311,228x = 682,714 × 682,714
  4. Step 4: Simplify right side
    311,228x = 466,098,405,796
  5. Step 5: Solve for x
    x = 466,098,405,796/311,228
  6. Step 6: Final answer
    x = 1,497,610.77

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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.