Finding the Third Proportional to 198 and 404
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Solution
The third proportional to 198 and 404 is: 824.32
Step by Step Solution
- Step 1: Write the proportion equation
198 : 404 = 404 : x - Step 2: Convert to fraction form
198/404 = 404/x - Step 3: Cross multiply
198x = 404 × 404 - Step 4: Simplify right side
198x = 163,216 - Step 5: Solve for x
x = 163,216/198 - Step 6: Final answer
x = 824.32
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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.