Finding the Third Proportional to 189 and 217.50
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Solution
The third proportional to 189 and 217.50 is: 250.30
Step by Step Solution
- Step 1: Write the proportion equation
189 : 217.50 = 217.50 : x - Step 2: Convert to fraction form
189/217.50 = 217.50/x - Step 3: Cross multiply
189x = 217.50 × 217.50 - Step 4: Simplify right side
189x = 47,306.25 - Step 5: Solve for x
x = 47,306.25/189 - Step 6: Final answer
x = 250.30
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Why These Related Problems?
These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.