Finding the Third Proportional to 3,782.11 and 8,202.09
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Solution
The third proportional to 3,782.11 and 8,202.09 is: 17,787.52
Step by Step Solution
- Step 1: Write the proportion equation
3,782.11 : 8,202.09 = 8,202.09 : x - Step 2: Convert to fraction form
3,782.11/8,202.09 = 8,202.09/x - Step 3: Cross multiply
3,782.11x = 8,202.09 × 8,202.09 - Step 4: Simplify right side
3,782.11x = 67,274,341.88 - Step 5: Solve for x
x = 67,274,341.88/3,782.11 - Step 6: Final answer
x = 17,787.52
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.