Finding the Third Proportional to 820 and 1,353
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Solution
The third proportional to 820 and 1,353 is: 2,232.45
Step by Step Solution
- Step 1: Write the proportion equation
820 : 1,353 = 1,353 : x - Step 2: Convert to fraction form
820/1,353 = 1,353/x - Step 3: Cross multiply
820x = 1,353 × 1,353 - Step 4: Simplify right side
820x = 1,830,609 - Step 5: Solve for x
x = 1,830,609/820 - Step 6: Final answer
x = 2,232.45
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Why These Related Problems?
These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.