Finding the Third Proportional to 57,165 and 127,443
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Solution
The third proportional to 57,165 and 127,443 is: 284,119.97
Step by Step Solution
- Step 1: Write the proportion equation
57,165 : 127,443 = 127,443 : x - Step 2: Convert to fraction form
57,165/127,443 = 127,443/x - Step 3: Cross multiply
57,165x = 127,443 × 127,443 - Step 4: Simplify right side
57,165x = 16,241,718,249 - Step 5: Solve for x
x = 16,241,718,249/57,165 - Step 6: Final answer
x = 284,119.97
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Why These Related Problems?
These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.