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Finding the Third Proportional to 192,180 and 409,305

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Solution

The third proportional to 192,180 and 409,305 is: 871,737.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,180 : 409,305 = 409,305 : x
  2. Step 2: Convert to fraction form
    192,180/409,305 = 409,305/x
  3. Step 3: Cross multiply
    192,180x = 409,305 × 409,305
  4. Step 4: Simplify right side
    192,180x = 167,530,583,025
  5. Step 5: Solve for x
    x = 167,530,583,025/192,180
  6. Step 6: Final answer
    x = 871,737.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.