Finding the Third Proportional to 1,608 and 1,976
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Solution
The third proportional to 1,608 and 1,976 is: 2,428.22
Step by Step Solution
- Step 1: Write the proportion equation
1,608 : 1,976 = 1,976 : x - Step 2: Convert to fraction form
1,608/1,976 = 1,976/x - Step 3: Cross multiply
1,608x = 1,976 × 1,976 - Step 4: Simplify right side
1,608x = 3,904,576 - Step 5: Solve for x
x = 3,904,576/1,608 - Step 6: Final answer
x = 2,428.22
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Why These Related Problems?
These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.