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Finding the Third Proportional to 87,720 and 192,936

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Solution

The third proportional to 87,720 and 192,936 is: 424,353.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,720 : 192,936 = 192,936 : x
  2. Step 2: Convert to fraction form
    87,720/192,936 = 192,936/x
  3. Step 3: Cross multiply
    87,720x = 192,936 × 192,936
  4. Step 4: Simplify right side
    87,720x = 37,224,300,096
  5. Step 5: Solve for x
    x = 37,224,300,096/87,720
  6. Step 6: Final answer
    x = 424,353.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.