Finding the Third Proportional to 270 and 398
Calculator
Solution
The third proportional to 270 and 398 is: 586.68
Step by Step Solution
- Step 1: Write the proportion equation
270 : 398 = 398 : x - Step 2: Convert to fraction form
270/398 = 398/x - Step 3: Cross multiply
270x = 398 × 398 - Step 4: Simplify right side
270x = 158,404 - Step 5: Solve for x
x = 158,404/270 - Step 6: Final answer
x = 586.68
Related Problems
Find third proportional to 135 and 199
Half scale
Find third proportional to 540 and 796
Double scale
Find third proportional to 272 and 401
Similar ratio
Find third proportional to 405 and 597
1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.