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Finding the Third Proportional to 171.49 and 353.43

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Solution

The third proportional to 171.49 and 353.43 is: 728.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.49 : 353.43 = 353.43 : x
  2. Step 2: Convert to fraction form
    171.49/353.43 = 353.43/x
  3. Step 3: Cross multiply
    171.49x = 353.43 × 353.43
  4. Step 4: Simplify right side
    171.49x = 124,909.78
  5. Step 5: Solve for x
    x = 124,909.78/171.49
  6. Step 6: Final answer
    x = 728.37

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.