Finding the Third Proportional to 1,206 and 2,211
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Solution
The third proportional to 1,206 and 2,211 is: 4,053.50
Step by Step Solution
- Step 1: Write the proportion equation
1,206 : 2,211 = 2,211 : x - Step 2: Convert to fraction form
1,206/2,211 = 2,211/x - Step 3: Cross multiply
1,206x = 2,211 × 2,211 - Step 4: Simplify right side
1,206x = 4,888,521 - Step 5: Solve for x
x = 4,888,521/1,206 - Step 6: Final answer
x = 4,053.50
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Why These Related Problems?
These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.