Finding the Third Proportional to 198 and 374
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Solution
The third proportional to 198 and 374 is: 706.44
Step by Step Solution
- Step 1: Write the proportion equation
198 : 374 = 374 : x - Step 2: Convert to fraction form
198/374 = 374/x - Step 3: Cross multiply
198x = 374 × 374 - Step 4: Simplify right side
198x = 139,876 - Step 5: Solve for x
x = 139,876/198 - Step 6: Final answer
x = 706.44
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These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.