Finding the Third Proportional to 830 and 1,464
Calculator
Solution
The third proportional to 830 and 1,464 is: 2,582.28
Step by Step Solution
- Step 1: Write the proportion equation
830 : 1,464 = 1,464 : x - Step 2: Convert to fraction form
830/1,464 = 1,464/x - Step 3: Cross multiply
830x = 1,464 × 1,464 - Step 4: Simplify right side
830x = 2,143,296 - Step 5: Solve for x
x = 2,143,296/830 - Step 6: Final answer
x = 2,582.28
Related Problems
Find third proportional to 415 and 732
Half scale
Find third proportional to 1,660 and 2,928
Double scale
Find third proportional to 832 and 1,468
Similar ratio
Find third proportional to 1,245 and 2,196
1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.