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Finding the Third Proportional to 211.72 and 305.81

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Solution

The third proportional to 211.72 and 305.81 is: 441.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.72 : 305.81 = 305.81 : x
  2. Step 2: Convert to fraction form
    211.72/305.81 = 305.81/x
  3. Step 3: Cross multiply
    211.72x = 305.81 × 305.81
  4. Step 4: Simplify right side
    211.72x = 93,517.70
  5. Step 5: Solve for x
    x = 93,517.70/211.72
  6. Step 6: Final answer
    x = 441.71

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.