Finding the Third Proportional to 2,178 and 5,082
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Solution
The third proportional to 2,178 and 5,082 is: 11,858
Step by Step Solution
- Step 1: Write the proportion equation
2,178 : 5,082 = 5,082 : x - Step 2: Convert to fraction form
2,178/5,082 = 5,082/x - Step 3: Cross multiply
2,178x = 5,082 × 5,082 - Step 4: Simplify right side
2,178x = 25,826,724 - Step 5: Solve for x
x = 25,826,724/2,178 - Step 6: Final answer
x = 11,858
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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.