Finding the Third Proportional to 768 and 816
Calculator
Solution
The third proportional to 768 and 816 is: 867
Step by Step Solution
- Step 1: Write the proportion equation
768 : 816 = 816 : x - Step 2: Convert to fraction form
768/816 = 816/x - Step 3: Cross multiply
768x = 816 × 816 - Step 4: Simplify right side
768x = 665,856 - Step 5: Solve for x
x = 665,856/768 - Step 6: Final answer
x = 867
Related Problems
Find third proportional to 384 and 408
Half scale
Find third proportional to 1,536 and 1,632
Double scale
Find third proportional to 770 and 818
Similar ratio
Find third proportional to 1,152 and 1,224
1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.