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Finding the Third Proportional to 192.80 and 395.72

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Solution

The third proportional to 192.80 and 395.72 is: 812.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.80 : 395.72 = 395.72 : x
  2. Step 2: Convert to fraction form
    192.80/395.72 = 395.72/x
  3. Step 3: Cross multiply
    192.80x = 395.72 × 395.72
  4. Step 4: Simplify right side
    192.80x = 156,593.33
  5. Step 5: Solve for x
    x = 156,593.33/192.80
  6. Step 6: Final answer
    x = 812.22

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.