Finding the Third Proportional to 171,078 and 412,143
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Solution
The third proportional to 171,078 and 412,143 is: 992,891.27
Step by Step Solution
- Step 1: Write the proportion equation
171,078 : 412,143 = 412,143 : x - Step 2: Convert to fraction form
171,078/412,143 = 412,143/x - Step 3: Cross multiply
171,078x = 412,143 × 412,143 - Step 4: Simplify right side
171,078x = 169,861,852,449 - Step 5: Solve for x
x = 169,861,852,449/171,078 - Step 6: Final answer
x = 992,891.27
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Why These Related Problems?
These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.