Finding the Third Proportional to 992 and 1,891
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Solution
The third proportional to 992 and 1,891 is: 3,604.72
Step by Step Solution
- Step 1: Write the proportion equation
992 : 1,891 = 1,891 : x - Step 2: Convert to fraction form
992/1,891 = 1,891/x - Step 3: Cross multiply
992x = 1,891 × 1,891 - Step 4: Simplify right side
992x = 3,575,881 - Step 5: Solve for x
x = 3,575,881/992 - Step 6: Final answer
x = 3,604.72
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Why These Related Problems?
These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.