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Finding the Third Proportional to 178.24 and 261.21

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Solution

The third proportional to 178.24 and 261.21 is: 382.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.24 : 261.21 = 261.21 : x
  2. Step 2: Convert to fraction form
    178.24/261.21 = 261.21/x
  3. Step 3: Cross multiply
    178.24x = 261.21 × 261.21
  4. Step 4: Simplify right side
    178.24x = 68,231.15
  5. Step 5: Solve for x
    x = 68,231.15/178.24
  6. Step 6: Final answer
    x = 382.80

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.