Finding the Third Proportional to 2,560 and 3,988
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Solution
The third proportional to 2,560 and 3,988 is: 6,212.56
Step by Step Solution
- Step 1: Write the proportion equation
2,560 : 3,988 = 3,988 : x - Step 2: Convert to fraction form
2,560/3,988 = 3,988/x - Step 3: Cross multiply
2,560x = 3,988 × 3,988 - Step 4: Simplify right side
2,560x = 15,904,144 - Step 5: Solve for x
x = 15,904,144/2,560 - Step 6: Final answer
x = 6,212.56
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Why These Related Problems?
These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.