Finding the Third Proportional to 728 and 1,775
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Solution
The third proportional to 728 and 1,775 is: 4,327.78
Step by Step Solution
- Step 1: Write the proportion equation
728 : 1,775 = 1,775 : x - Step 2: Convert to fraction form
728/1,775 = 1,775/x - Step 3: Cross multiply
728x = 1,775 × 1,775 - Step 4: Simplify right side
728x = 3,150,625 - Step 5: Solve for x
x = 3,150,625/728 - Step 6: Final answer
x = 4,327.78
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Why These Related Problems?
These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.