Finding the Third Proportional to 822 and 1,696
Calculator
Solution
The third proportional to 822 and 1,696 is: 3,499.29
Step by Step Solution
- Step 1: Write the proportion equation
822 : 1,696 = 1,696 : x - Step 2: Convert to fraction form
822/1,696 = 1,696/x - Step 3: Cross multiply
822x = 1,696 × 1,696 - Step 4: Simplify right side
822x = 2,876,416 - Step 5: Solve for x
x = 2,876,416/822 - Step 6: Final answer
x = 3,499.29
Related Problems
Find third proportional to 411 and 848
Half scale
Find third proportional to 1,644 and 3,392
Double scale
Find third proportional to 824 and 1,700
Similar ratio
Find third proportional to 1,233 and 2,544
1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.