Finding the Third Proportional to 822 and 991.50
Calculator
Solution
The third proportional to 822 and 991.50 is: 1,195.95
Step by Step Solution
- Step 1: Write the proportion equation
822 : 991.50 = 991.50 : x - Step 2: Convert to fraction form
822/991.50 = 991.50/x - Step 3: Cross multiply
822x = 991.50 × 991.50 - Step 4: Simplify right side
822x = 983,072.25 - Step 5: Solve for x
x = 983,072.25/822 - Step 6: Final answer
x = 1,195.95
Related Problems
Find third proportional to 411 and 495.75
Half scale
Find third proportional to 1,644 and 1,983
Double scale
Find third proportional to 824 and 994
Similar ratio
Find third proportional to 1,233 and 1,487.25
1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.