Finding the Third Proportional to 1,775 and 3,743
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Solution
The third proportional to 1,775 and 3,743 is: 7,892.99
Step by Step Solution
- Step 1: Write the proportion equation
1,775 : 3,743 = 3,743 : x - Step 2: Convert to fraction form
1,775/3,743 = 3,743/x - Step 3: Cross multiply
1,775x = 3,743 × 3,743 - Step 4: Simplify right side
1,775x = 14,010,049 - Step 5: Solve for x
x = 14,010,049/1,775 - Step 6: Final answer
x = 7,892.99
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Why These Related Problems?
These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.