Finding the Third Proportional to 231,471 and 491,382
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Solution
The third proportional to 231,471 and 491,382 is: 1,043,138.32
Step by Step Solution
- Step 1: Write the proportion equation
231,471 : 491,382 = 491,382 : x - Step 2: Convert to fraction form
231,471/491,382 = 491,382/x - Step 3: Cross multiply
231,471x = 491,382 × 491,382 - Step 4: Simplify right side
231,471x = 241,456,269,924 - Step 5: Solve for x
x = 241,456,269,924/231,471 - Step 6: Final answer
x = 1,043,138.32
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.