Finding the Third Proportional to 892 and 2,286
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Solution
The third proportional to 892 and 2,286 is: 5,858.52
Step by Step Solution
- Step 1: Write the proportion equation
892 : 2,286 = 2,286 : x - Step 2: Convert to fraction form
892/2,286 = 2,286/x - Step 3: Cross multiply
892x = 2,286 × 2,286 - Step 4: Simplify right side
892x = 5,225,796 - Step 5: Solve for x
x = 5,225,796/892 - Step 6: Final answer
x = 5,858.52
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These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.