Finding the Third Proportional to 757 and 1,343
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Solution
The third proportional to 757 and 1,343 is: 2,382.63
Step by Step Solution
- Step 1: Write the proportion equation
757 : 1,343 = 1,343 : x - Step 2: Convert to fraction form
757/1,343 = 1,343/x - Step 3: Cross multiply
757x = 1,343 × 1,343 - Step 4: Simplify right side
757x = 1,803,649 - Step 5: Solve for x
x = 1,803,649/757 - Step 6: Final answer
x = 2,382.63
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Why These Related Problems?
These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.