Finding the Third Proportional to 416 and 1,082
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Solution
The third proportional to 416 and 1,082 is: 2,814.24
Step by Step Solution
- Step 1: Write the proportion equation
416 : 1,082 = 1,082 : x - Step 2: Convert to fraction form
416/1,082 = 1,082/x - Step 3: Cross multiply
416x = 1,082 × 1,082 - Step 4: Simplify right side
416x = 1,170,724 - Step 5: Solve for x
x = 1,170,724/416 - Step 6: Final answer
x = 2,814.24
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These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.