Finding the Third Proportional to 864 and 1,845
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Solution
The third proportional to 864 and 1,845 is: 3,939.84
Step by Step Solution
- Step 1: Write the proportion equation
864 : 1,845 = 1,845 : x - Step 2: Convert to fraction form
864/1,845 = 1,845/x - Step 3: Cross multiply
864x = 1,845 × 1,845 - Step 4: Simplify right side
864x = 3,404,025 - Step 5: Solve for x
x = 3,404,025/864 - Step 6: Final answer
x = 3,939.84
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.