Finding the Third Proportional to 2,040 and 3,912
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Solution
The third proportional to 2,040 and 3,912 is: 7,501.84
Step by Step Solution
- Step 1: Write the proportion equation
2,040 : 3,912 = 3,912 : x - Step 2: Convert to fraction form
2,040/3,912 = 3,912/x - Step 3: Cross multiply
2,040x = 3,912 × 3,912 - Step 4: Simplify right side
2,040x = 15,303,744 - Step 5: Solve for x
x = 15,303,744/2,040 - Step 6: Final answer
x = 7,501.84
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Why These Related Problems?
These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.