Finding the Third Proportional to 1,200 and 2,760
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Solution
The third proportional to 1,200 and 2,760 is: 6,348
Step by Step Solution
- Step 1: Write the proportion equation
1,200 : 2,760 = 2,760 : x - Step 2: Convert to fraction form
1,200/2,760 = 2,760/x - Step 3: Cross multiply
1,200x = 2,760 × 2,760 - Step 4: Simplify right side
1,200x = 7,617,600 - Step 5: Solve for x
x = 7,617,600/1,200 - Step 6: Final answer
x = 6,348
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Why These Related Problems?
These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.