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Finding the Third Proportional to 311,055 and 682,371

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Solution

The third proportional to 311,055 and 682,371 is: 1,496,938.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,055 : 682,371 = 682,371 : x
  2. Step 2: Convert to fraction form
    311,055/682,371 = 682,371/x
  3. Step 3: Cross multiply
    311,055x = 682,371 × 682,371
  4. Step 4: Simplify right side
    311,055x = 465,630,181,641
  5. Step 5: Solve for x
    x = 465,630,181,641/311,055
  6. Step 6: Final answer
    x = 1,496,938.42

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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.