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Finding the Third Proportional to 311,764 and 672,176

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Solution

The third proportional to 311,764 and 672,176 is: 1,449,239.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,764 : 672,176 = 672,176 : x
  2. Step 2: Convert to fraction form
    311,764/672,176 = 672,176/x
  3. Step 3: Cross multiply
    311,764x = 672,176 × 672,176
  4. Step 4: Simplify right side
    311,764x = 451,820,574,976
  5. Step 5: Solve for x
    x = 451,820,574,976/311,764
  6. Step 6: Final answer
    x = 1,449,239.09

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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.