Finding the Third Proportional to 820 and 1,784
Calculator
Solution
The third proportional to 820 and 1,784 is: 3,881.29
Step by Step Solution
- Step 1: Write the proportion equation
820 : 1,784 = 1,784 : x - Step 2: Convert to fraction form
820/1,784 = 1,784/x - Step 3: Cross multiply
820x = 1,784 × 1,784 - Step 4: Simplify right side
820x = 3,182,656 - Step 5: Solve for x
x = 3,182,656/820 - Step 6: Final answer
x = 3,881.29
Related Problems
Find third proportional to 410 and 892
Half scale
Find third proportional to 1,640 and 3,568
Double scale
Find third proportional to 822 and 1,788
Similar ratio
Find third proportional to 1,230 and 2,676
1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.