Finding the Third Proportional to 2,252 and 4,016
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Solution
The third proportional to 2,252 and 4,016 is: 7,161.75
Step by Step Solution
- Step 1: Write the proportion equation
2,252 : 4,016 = 4,016 : x - Step 2: Convert to fraction form
2,252/4,016 = 4,016/x - Step 3: Cross multiply
2,252x = 4,016 × 4,016 - Step 4: Simplify right side
2,252x = 16,128,256 - Step 5: Solve for x
x = 16,128,256/2,252 - Step 6: Final answer
x = 7,161.75
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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.