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Finding the Third Proportional to 179.72 and 270.84

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Solution

The third proportional to 179.72 and 270.84 is: 408.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.72 : 270.84 = 270.84 : x
  2. Step 2: Convert to fraction form
    179.72/270.84 = 270.84/x
  3. Step 3: Cross multiply
    179.72x = 270.84 × 270.84
  4. Step 4: Simplify right side
    179.72x = 73,356.34
  5. Step 5: Solve for x
    x = 73,356.34/179.72
  6. Step 6: Final answer
    x = 408.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.