Finding the Third Proportional to 180 and 460
Calculator
Solution
The third proportional to 180 and 460 is: 1,175.56
Step by Step Solution
- Step 1: Write the proportion equation
180 : 460 = 460 : x - Step 2: Convert to fraction form
180/460 = 460/x - Step 3: Cross multiply
180x = 460 × 460 - Step 4: Simplify right side
180x = 211,600 - Step 5: Solve for x
x = 211,600/180 - Step 6: Final answer
x = 1,175.56
Related Problems
Find third proportional to 90 and 230
Half scale
Find third proportional to 360 and 920
Double scale
Find third proportional to 182 and 465
Similar ratio
Find third proportional to 270 and 690
1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.