Finding the Third Proportional to 6,938 and 8,144
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Solution
The third proportional to 6,938 and 8,144 is: 9,559.63
Step by Step Solution
- Step 1: Write the proportion equation
6,938 : 8,144 = 8,144 : x - Step 2: Convert to fraction form
6,938/8,144 = 8,144/x - Step 3: Cross multiply
6,938x = 8,144 × 8,144 - Step 4: Simplify right side
6,938x = 66,324,736 - Step 5: Solve for x
x = 66,324,736/6,938 - Step 6: Final answer
x = 9,559.63
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Why These Related Problems?
These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.