Finding the Third Proportional to 18,324 and 38,799
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Solution
The third proportional to 18,324 and 38,799 is: 82,152.50
Step by Step Solution
- Step 1: Write the proportion equation
18,324 : 38,799 = 38,799 : x - Step 2: Convert to fraction form
18,324/38,799 = 38,799/x - Step 3: Cross multiply
18,324x = 38,799 × 38,799 - Step 4: Simplify right side
18,324x = 1,505,362,401 - Step 5: Solve for x
x = 1,505,362,401/18,324 - Step 6: Final answer
x = 82,152.50
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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.