Finding the Third Proportional to 2,409 and 3,540
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Solution
The third proportional to 2,409 and 3,540 is: 5,201.99
Step by Step Solution
- Step 1: Write the proportion equation
2,409 : 3,540 = 3,540 : x - Step 2: Convert to fraction form
2,409/3,540 = 3,540/x - Step 3: Cross multiply
2,409x = 3,540 × 3,540 - Step 4: Simplify right side
2,409x = 12,531,600 - Step 5: Solve for x
x = 12,531,600/2,409 - Step 6: Final answer
x = 5,201.99
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Why These Related Problems?
These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.