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Finding the Third Proportional to 311,766 and 672,180

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Solution

The third proportional to 311,766 and 672,180 is: 1,449,247.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,766 : 672,180 = 672,180 : x
  2. Step 2: Convert to fraction form
    311,766/672,180 = 672,180/x
  3. Step 3: Cross multiply
    311,766x = 672,180 × 672,180
  4. Step 4: Simplify right side
    311,766x = 451,825,952,400
  5. Step 5: Solve for x
    x = 451,825,952,400/311,766
  6. Step 6: Final answer
    x = 1,449,247.04

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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.