Finding the Third Proportional to 8,019 and 9,801
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Solution
The third proportional to 8,019 and 9,801 is: 11,979
Step by Step Solution
- Step 1: Write the proportion equation
8,019 : 9,801 = 9,801 : x - Step 2: Convert to fraction form
8,019/9,801 = 9,801/x - Step 3: Cross multiply
8,019x = 9,801 × 9,801 - Step 4: Simplify right side
8,019x = 96,059,601 - Step 5: Solve for x
x = 96,059,601/8,019 - Step 6: Final answer
x = 11,979
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Why These Related Problems?
These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.