Finding the Third Proportional to 20,111 and 21,934
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Solution
The third proportional to 20,111 and 21,934 is: 23,922.25
Step by Step Solution
- Step 1: Write the proportion equation
20,111 : 21,934 = 21,934 : x - Step 2: Convert to fraction form
20,111/21,934 = 21,934/x - Step 3: Cross multiply
20,111x = 21,934 × 21,934 - Step 4: Simplify right side
20,111x = 481,100,356 - Step 5: Solve for x
x = 481,100,356/20,111 - Step 6: Final answer
x = 23,922.25
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.