Finding the Third Proportional to 2,277 and 3,415
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Solution
The third proportional to 2,277 and 3,415 is: 5,121.75
Step by Step Solution
- Step 1: Write the proportion equation
2,277 : 3,415 = 3,415 : x - Step 2: Convert to fraction form
2,277/3,415 = 3,415/x - Step 3: Cross multiply
2,277x = 3,415 × 3,415 - Step 4: Simplify right side
2,277x = 11,662,225 - Step 5: Solve for x
x = 11,662,225/2,277 - Step 6: Final answer
x = 5,121.75
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.