Finding the Third Proportional to 378 and 416
Calculator
Solution
The third proportional to 378 and 416 is: 457.82
Step by Step Solution
- Step 1: Write the proportion equation
378 : 416 = 416 : x - Step 2: Convert to fraction form
378/416 = 416/x - Step 3: Cross multiply
378x = 416 × 416 - Step 4: Simplify right side
378x = 173,056 - Step 5: Solve for x
x = 173,056/378 - Step 6: Final answer
x = 457.82
Related Problems
Find third proportional to 189 and 208
Half scale
Find third proportional to 756 and 832
Double scale
Find third proportional to 380 and 418
Similar ratio
Find third proportional to 567 and 624
1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.