Finding the Third Proportional to 227 and 421
Calculator
Solution
The third proportional to 227 and 421 is: 780.80
Step by Step Solution
- Step 1: Write the proportion equation
227 : 421 = 421 : x - Step 2: Convert to fraction form
227/421 = 421/x - Step 3: Cross multiply
227x = 421 × 421 - Step 4: Simplify right side
227x = 177,241 - Step 5: Solve for x
x = 177,241/227 - Step 6: Final answer
x = 780.80
Related Problems
Find third proportional to 113.50 and 210.50
Half scale
Find third proportional to 454 and 842
Double scale
Find third proportional to 229 and 425
Similar ratio
Find third proportional to 340.50 and 631.50
1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.