Finding the Third Proportional to 728 and 826
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Solution
The third proportional to 728 and 826 is: 937.19
Step by Step Solution
- Step 1: Write the proportion equation
728 : 826 = 826 : x - Step 2: Convert to fraction form
728/826 = 826/x - Step 3: Cross multiply
728x = 826 × 826 - Step 4: Simplify right side
728x = 682,276 - Step 5: Solve for x
x = 682,276/728 - Step 6: Final answer
x = 937.19
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Why These Related Problems?
These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.