Finding the Third Proportional to 2,561 and 5,286
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Solution
The third proportional to 2,561 and 5,286 is: 10,910.50
Step by Step Solution
- Step 1: Write the proportion equation
2,561 : 5,286 = 5,286 : x - Step 2: Convert to fraction form
2,561/5,286 = 5,286/x - Step 3: Cross multiply
2,561x = 5,286 × 5,286 - Step 4: Simplify right side
2,561x = 27,941,796 - Step 5: Solve for x
x = 27,941,796/2,561 - Step 6: Final answer
x = 10,910.50
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Why These Related Problems?
These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.