Finding the Third Proportional to 121 and 209
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Solution
The third proportional to 121 and 209 is: 361
Step by Step Solution
- Step 1: Write the proportion equation
121 : 209 = 209 : x - Step 2: Convert to fraction form
121/209 = 209/x - Step 3: Cross multiply
121x = 209 × 209 - Step 4: Simplify right side
121x = 43,681 - Step 5: Solve for x
x = 43,681/121 - Step 6: Final answer
x = 361
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Why These Related Problems?
These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.