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Finding the Third Proportional to 150,993 and 329,121

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Solution

The third proportional to 150,993 and 329,121 is: 717,388.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,993 : 329,121 = 329,121 : x
  2. Step 2: Convert to fraction form
    150,993/329,121 = 329,121/x
  3. Step 3: Cross multiply
    150,993x = 329,121 × 329,121
  4. Step 4: Simplify right side
    150,993x = 108,320,632,641
  5. Step 5: Solve for x
    x = 108,320,632,641/150,993
  6. Step 6: Final answer
    x = 717,388.44

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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.