Finding the Third Proportional to 822 and 1,801
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Solution
The third proportional to 822 and 1,801 is: 3,945.99
Step by Step Solution
- Step 1: Write the proportion equation
822 : 1,801 = 1,801 : x - Step 2: Convert to fraction form
822/1,801 = 1,801/x - Step 3: Cross multiply
822x = 1,801 × 1,801 - Step 4: Simplify right side
822x = 3,243,601 - Step 5: Solve for x
x = 3,243,601/822 - Step 6: Final answer
x = 3,945.99
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.