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Finding the Third Proportional to 214.94 and 238.56

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Solution

The third proportional to 214.94 and 238.56 is: 264.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.94 : 238.56 = 238.56 : x
  2. Step 2: Convert to fraction form
    214.94/238.56 = 238.56/x
  3. Step 3: Cross multiply
    214.94x = 238.56 × 238.56
  4. Step 4: Simplify right side
    214.94x = 56,912.07
  5. Step 5: Solve for x
    x = 56,912.07/214.94
  6. Step 6: Final answer
    x = 264.78

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.