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Finding the Third Proportional to 192.80 and 289.41

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Solution

The third proportional to 192.80 and 289.41 is: 434.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.80 : 289.41 = 289.41 : x
  2. Step 2: Convert to fraction form
    192.80/289.41 = 289.41/x
  3. Step 3: Cross multiply
    192.80x = 289.41 × 289.41
  4. Step 4: Simplify right side
    192.80x = 83,755.98
  5. Step 5: Solve for x
    x = 83,755.98/192.80
  6. Step 6: Final answer
    x = 434.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.