Finding the Third Proportional to 646 and 1,082
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Solution
The third proportional to 646 and 1,082 is: 1,812.27
Step by Step Solution
- Step 1: Write the proportion equation
646 : 1,082 = 1,082 : x - Step 2: Convert to fraction form
646/1,082 = 1,082/x - Step 3: Cross multiply
646x = 1,082 × 1,082 - Step 4: Simplify right side
646x = 1,170,724 - Step 5: Solve for x
x = 1,170,724/646 - Step 6: Final answer
x = 1,812.27
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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.