Finding the Third Proportional to 23,236 and 50,824
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Solution
The third proportional to 23,236 and 50,824 is: 111,167.11
Step by Step Solution
- Step 1: Write the proportion equation
23,236 : 50,824 = 50,824 : x - Step 2: Convert to fraction form
23,236/50,824 = 50,824/x - Step 3: Cross multiply
23,236x = 50,824 × 50,824 - Step 4: Simplify right side
23,236x = 2,583,078,976 - Step 5: Solve for x
x = 2,583,078,976/23,236 - Step 6: Final answer
x = 111,167.11
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.