Finding the Third Proportional to 3,791 and 8,149
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Solution
The third proportional to 3,791 and 8,149 is: 17,516.80
Step by Step Solution
- Step 1: Write the proportion equation
3,791 : 8,149 = 8,149 : x - Step 2: Convert to fraction form
3,791/8,149 = 8,149/x - Step 3: Cross multiply
3,791x = 8,149 × 8,149 - Step 4: Simplify right side
3,791x = 66,406,201 - Step 5: Solve for x
x = 66,406,201/3,791 - Step 6: Final answer
x = 17,516.80
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.