Finding the Third Proportional to 820 and 2,122
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Solution
The third proportional to 820 and 2,122 is: 5,491.32
Step by Step Solution
- Step 1: Write the proportion equation
820 : 2,122 = 2,122 : x - Step 2: Convert to fraction form
820/2,122 = 2,122/x - Step 3: Cross multiply
820x = 2,122 × 2,122 - Step 4: Simplify right side
820x = 4,502,884 - Step 5: Solve for x
x = 4,502,884/820 - Step 6: Final answer
x = 5,491.32
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Why These Related Problems?
These problems maintain the same ratio (2.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.