Finding the Third Proportional to 7,802 and 17,921
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Solution
The third proportional to 7,802 and 17,921 is: 41,164.09
Step by Step Solution
- Step 1: Write the proportion equation
7,802 : 17,921 = 17,921 : x - Step 2: Convert to fraction form
7,802/17,921 = 17,921/x - Step 3: Cross multiply
7,802x = 17,921 × 17,921 - Step 4: Simplify right side
7,802x = 321,162,241 - Step 5: Solve for x
x = 321,162,241/7,802 - Step 6: Final answer
x = 41,164.09
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Why These Related Problems?
These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.