Finding the Third Proportional to 396 and 443
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Solution
The third proportional to 396 and 443 is: 495.58
Step by Step Solution
- Step 1: Write the proportion equation
396 : 443 = 443 : x - Step 2: Convert to fraction form
396/443 = 443/x - Step 3: Cross multiply
396x = 443 × 443 - Step 4: Simplify right side
396x = 196,249 - Step 5: Solve for x
x = 196,249/396 - Step 6: Final answer
x = 495.58
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These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.