Finding the Third Proportional to 771 and 1,797
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Solution
The third proportional to 771 and 1,797 is: 4,188.34
Step by Step Solution
- Step 1: Write the proportion equation
771 : 1,797 = 1,797 : x - Step 2: Convert to fraction form
771/1,797 = 1,797/x - Step 3: Cross multiply
771x = 1,797 × 1,797 - Step 4: Simplify right side
771x = 3,229,209 - Step 5: Solve for x
x = 3,229,209/771 - Step 6: Final answer
x = 4,188.34
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Why These Related Problems?
These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.