Finding the Third Proportional to 4,142 and 5,725
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Solution
The third proportional to 4,142 and 5,725 is: 7,912.99
Step by Step Solution
- Step 1: Write the proportion equation
4,142 : 5,725 = 5,725 : x - Step 2: Convert to fraction form
4,142/5,725 = 5,725/x - Step 3: Cross multiply
4,142x = 5,725 × 5,725 - Step 4: Simplify right side
4,142x = 32,775,625 - Step 5: Solve for x
x = 32,775,625/4,142 - Step 6: Final answer
x = 7,912.99
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.