Finding the Third Proportional to 1,160 and 2,245
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Solution
The third proportional to 1,160 and 2,245 is: 4,344.85
Step by Step Solution
- Step 1: Write the proportion equation
1,160 : 2,245 = 2,245 : x - Step 2: Convert to fraction form
1,160/2,245 = 2,245/x - Step 3: Cross multiply
1,160x = 2,245 × 2,245 - Step 4: Simplify right side
1,160x = 5,040,025 - Step 5: Solve for x
x = 5,040,025/1,160 - Step 6: Final answer
x = 4,344.85
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Why These Related Problems?
These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.