Finding the Third Proportional to 21,100 and 32,670
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Solution
The third proportional to 21,100 and 32,670 is: 50,584.31
Step by Step Solution
- Step 1: Write the proportion equation
21,100 : 32,670 = 32,670 : x - Step 2: Convert to fraction form
21,100/32,670 = 32,670/x - Step 3: Cross multiply
21,100x = 32,670 × 32,670 - Step 4: Simplify right side
21,100x = 1,067,328,900 - Step 5: Solve for x
x = 1,067,328,900/21,100 - Step 6: Final answer
x = 50,584.31
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.