Finding the Third Proportional to 189 and 227
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Solution
The third proportional to 189 and 227 is: 272.64
Step by Step Solution
- Step 1: Write the proportion equation
189 : 227 = 227 : x - Step 2: Convert to fraction form
189/227 = 227/x - Step 3: Cross multiply
189x = 227 × 227 - Step 4: Simplify right side
189x = 51,529 - Step 5: Solve for x
x = 51,529/189 - Step 6: Final answer
x = 272.64
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Why These Related Problems?
These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.