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Finding the Third Proportional to 171.42 and 261.42

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Solution

The third proportional to 171.42 and 261.42 is: 398.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.42 : 261.42 = 261.42 : x
  2. Step 2: Convert to fraction form
    171.42/261.42 = 261.42/x
  3. Step 3: Cross multiply
    171.42x = 261.42 × 261.42
  4. Step 4: Simplify right side
    171.42x = 68,341.40
  5. Step 5: Solve for x
    x = 68,341.40/171.42
  6. Step 6: Final answer
    x = 398.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.