Finding the Third Proportional to 209 and 226.50
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Solution
The third proportional to 209 and 226.50 is: 245.47
Step by Step Solution
- Step 1: Write the proportion equation
209 : 226.50 = 226.50 : x - Step 2: Convert to fraction form
209/226.50 = 226.50/x - Step 3: Cross multiply
209x = 226.50 × 226.50 - Step 4: Simplify right side
209x = 51,302.25 - Step 5: Solve for x
x = 51,302.25/209 - Step 6: Final answer
x = 245.47
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Why These Related Problems?
These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.