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Finding the Third Proportional to 311,757 and 672,161

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Solution

The third proportional to 311,757 and 672,161 is: 1,449,206.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,757 : 672,161 = 672,161 : x
  2. Step 2: Convert to fraction form
    311,757/672,161 = 672,161/x
  3. Step 3: Cross multiply
    311,757x = 672,161 × 672,161
  4. Step 4: Simplify right side
    311,757x = 451,800,409,921
  5. Step 5: Solve for x
    x = 451,800,409,921/311,757
  6. Step 6: Final answer
    x = 1,449,206.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.