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Finding the Third Proportional to 190.75 and 211.63

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Solution

The third proportional to 190.75 and 211.63 is: 234.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.75 : 211.63 = 211.63 : x
  2. Step 2: Convert to fraction form
    190.75/211.63 = 211.63/x
  3. Step 3: Cross multiply
    190.75x = 211.63 × 211.63
  4. Step 4: Simplify right side
    190.75x = 44,785.14
  5. Step 5: Solve for x
    x = 44,785.14/190.75
  6. Step 6: Final answer
    x = 234.78

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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.