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Finding the Third Proportional to 149,879 and 321,993

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Solution

The third proportional to 149,879 and 321,993 is: 691,754.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,879 : 321,993 = 321,993 : x
  2. Step 2: Convert to fraction form
    149,879/321,993 = 321,993/x
  3. Step 3: Cross multiply
    149,879x = 321,993 × 321,993
  4. Step 4: Simplify right side
    149,879x = 103,679,492,049
  5. Step 5: Solve for x
    x = 103,679,492,049/149,879
  6. Step 6: Final answer
    x = 691,754.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.