Finding the Third Proportional to 9,800 and 20,104
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Solution
The third proportional to 9,800 and 20,104 is: 41,241.92
Step by Step Solution
- Step 1: Write the proportion equation
9,800 : 20,104 = 20,104 : x - Step 2: Convert to fraction form
9,800/20,104 = 20,104/x - Step 3: Cross multiply
9,800x = 20,104 × 20,104 - Step 4: Simplify right side
9,800x = 404,170,816 - Step 5: Solve for x
x = 404,170,816/9,800 - Step 6: Final answer
x = 41,241.92
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.