Finding the Third Proportional to 843 and 1,992
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Solution
The third proportional to 843 and 1,992 is: 4,707.07
Step by Step Solution
- Step 1: Write the proportion equation
843 : 1,992 = 1,992 : x - Step 2: Convert to fraction form
843/1,992 = 1,992/x - Step 3: Cross multiply
843x = 1,992 × 1,992 - Step 4: Simplify right side
843x = 3,968,064 - Step 5: Solve for x
x = 3,968,064/843 - Step 6: Final answer
x = 4,707.07
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Why These Related Problems?
These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.