Finding the Third Proportional to 198 and 212
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Solution
The third proportional to 198 and 212 is: 226.99
Step by Step Solution
- Step 1: Write the proportion equation
198 : 212 = 212 : x - Step 2: Convert to fraction form
198/212 = 212/x - Step 3: Cross multiply
198x = 212 × 212 - Step 4: Simplify right side
198x = 44,944 - Step 5: Solve for x
x = 44,944/198 - Step 6: Final answer
x = 226.99
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Why These Related Problems?
These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.