Finding the Third Proportional to 2,874 and 3,278
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Solution
The third proportional to 2,874 and 3,278 is: 3,738.79
Step by Step Solution
- Step 1: Write the proportion equation
2,874 : 3,278 = 3,278 : x - Step 2: Convert to fraction form
2,874/3,278 = 3,278/x - Step 3: Cross multiply
2,874x = 3,278 × 3,278 - Step 4: Simplify right side
2,874x = 10,745,284 - Step 5: Solve for x
x = 10,745,284/2,874 - Step 6: Final answer
x = 3,738.79
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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.