Finding the Third Proportional to 863 and 2,012
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Solution
The third proportional to 863 and 2,012 is: 4,690.78
Step by Step Solution
- Step 1: Write the proportion equation
863 : 2,012 = 2,012 : x - Step 2: Convert to fraction form
863/2,012 = 2,012/x - Step 3: Cross multiply
863x = 2,012 × 2,012 - Step 4: Simplify right side
863x = 4,048,144 - Step 5: Solve for x
x = 4,048,144/863 - Step 6: Final answer
x = 4,690.78
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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.