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Finding the Third Proportional to 179.40 and 261.09

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Solution

The third proportional to 179.40 and 261.09 is: 379.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.40 : 261.09 = 261.09 : x
  2. Step 2: Convert to fraction form
    179.40/261.09 = 261.09/x
  3. Step 3: Cross multiply
    179.40x = 261.09 × 261.09
  4. Step 4: Simplify right side
    179.40x = 68,170.33
  5. Step 5: Solve for x
    x = 68,170.33/179.40
  6. Step 6: Final answer
    x = 379.99

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.