Finding the Third Proportional to 1,782 and 3,168
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Solution
The third proportional to 1,782 and 3,168 is: 5,632
Step by Step Solution
- Step 1: Write the proportion equation
1,782 : 3,168 = 3,168 : x - Step 2: Convert to fraction form
1,782/3,168 = 3,168/x - Step 3: Cross multiply
1,782x = 3,168 × 3,168 - Step 4: Simplify right side
1,782x = 10,036,224 - Step 5: Solve for x
x = 10,036,224/1,782 - Step 6: Final answer
x = 5,632
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Why These Related Problems?
These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.