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Finding the Third Proportional to 149,879 and 326,191

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Solution

The third proportional to 149,879 and 326,191 is: 709,909.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,879 : 326,191 = 326,191 : x
  2. Step 2: Convert to fraction form
    149,879/326,191 = 326,191/x
  3. Step 3: Cross multiply
    149,879x = 326,191 × 326,191
  4. Step 4: Simplify right side
    149,879x = 106,400,568,481
  5. Step 5: Solve for x
    x = 106,400,568,481/149,879
  6. Step 6: Final answer
    x = 709,909.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.