Finding the Third Proportional to 381,760 and 862,504
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Solution
The third proportional to 381,760 and 862,504 is: 1,948,640.90
Step by Step Solution
- Step 1: Write the proportion equation
381,760 : 862,504 = 862,504 : x - Step 2: Convert to fraction form
381,760/862,504 = 862,504/x - Step 3: Cross multiply
381,760x = 862,504 × 862,504 - Step 4: Simplify right side
381,760x = 743,913,150,016 - Step 5: Solve for x
x = 743,913,150,016/381,760 - Step 6: Final answer
x = 1,948,640.90
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Why These Related Problems?
These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.