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Finding the Third Proportional to 311,758 and 672,164

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Solution

The third proportional to 311,758 and 672,164 is: 1,449,215.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,758 : 672,164 = 672,164 : x
  2. Step 2: Convert to fraction form
    311,758/672,164 = 672,164/x
  3. Step 3: Cross multiply
    311,758x = 672,164 × 672,164
  4. Step 4: Simplify right side
    311,758x = 451,804,442,896
  5. Step 5: Solve for x
    x = 451,804,442,896/311,758
  6. Step 6: Final answer
    x = 1,449,215.23

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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.