Finding the Third Proportional to 2,112 and 2,277
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Solution
The third proportional to 2,112 and 2,277 is: 2,454.89
Step by Step Solution
- Step 1: Write the proportion equation
2,112 : 2,277 = 2,277 : x - Step 2: Convert to fraction form
2,112/2,277 = 2,277/x - Step 3: Cross multiply
2,112x = 2,277 × 2,277 - Step 4: Simplify right side
2,112x = 5,184,729 - Step 5: Solve for x
x = 5,184,729/2,112 - Step 6: Final answer
x = 2,454.89
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Why These Related Problems?
These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.