Finding the Third Proportional to 198 and 356
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Solution
The third proportional to 198 and 356 is: 640.08
Step by Step Solution
- Step 1: Write the proportion equation
198 : 356 = 356 : x - Step 2: Convert to fraction form
198/356 = 356/x - Step 3: Cross multiply
198x = 356 × 356 - Step 4: Simplify right side
198x = 126,736 - Step 5: Solve for x
x = 126,736/198 - Step 6: Final answer
x = 640.08
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These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.