Finding the Third Proportional to 2,831 and 5,861
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Solution
The third proportional to 2,831 and 5,861 is: 12,133.99
Step by Step Solution
- Step 1: Write the proportion equation
2,831 : 5,861 = 5,861 : x - Step 2: Convert to fraction form
2,831/5,861 = 5,861/x - Step 3: Cross multiply
2,831x = 5,861 × 5,861 - Step 4: Simplify right side
2,831x = 34,351,321 - Step 5: Solve for x
x = 34,351,321/2,831 - Step 6: Final answer
x = 12,133.99
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Why These Related Problems?
These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.