Finding the Third Proportional to 121 and 231
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Solution
The third proportional to 121 and 231 is: 441
Step by Step Solution
- Step 1: Write the proportion equation
121 : 231 = 231 : x - Step 2: Convert to fraction form
121/231 = 231/x - Step 3: Cross multiply
121x = 231 × 231 - Step 4: Simplify right side
121x = 53,361 - Step 5: Solve for x
x = 53,361/121 - Step 6: Final answer
x = 441
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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.