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Finding the Third Proportional to 311,535 and 667,782

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Solution

The third proportional to 311,535 and 667,782 is: 1,431,405.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,535 : 667,782 = 667,782 : x
  2. Step 2: Convert to fraction form
    311,535/667,782 = 667,782/x
  3. Step 3: Cross multiply
    311,535x = 667,782 × 667,782
  4. Step 4: Simplify right side
    311,535x = 445,932,799,524
  5. Step 5: Solve for x
    x = 445,932,799,524/311,535
  6. Step 6: Final answer
    x = 1,431,405.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.