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Finding the Third Proportional to 171.72 and 266.09

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Solution

The third proportional to 171.72 and 266.09 is: 412.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.72 : 266.09 = 266.09 : x
  2. Step 2: Convert to fraction form
    171.72/266.09 = 266.09/x
  3. Step 3: Cross multiply
    171.72x = 266.09 × 266.09
  4. Step 4: Simplify right side
    171.72x = 70,805.88
  5. Step 5: Solve for x
    x = 70,805.88/171.72
  6. Step 6: Final answer
    x = 412.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.