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Finding the Third Proportional to 193.43 and 233.09

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Solution

The third proportional to 193.43 and 233.09 is: 280.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.43 : 233.09 = 233.09 : x
  2. Step 2: Convert to fraction form
    193.43/233.09 = 233.09/x
  3. Step 3: Cross multiply
    193.43x = 233.09 × 233.09
  4. Step 4: Simplify right side
    193.43x = 54,329.05
  5. Step 5: Solve for x
    x = 54,329.05/193.43
  6. Step 6: Final answer
    x = 280.87

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.