Finding the Third Proportional to 160 and 420
Calculator
Solution
The third proportional to 160 and 420 is: 1,102.50
Step by Step Solution
- Step 1: Write the proportion equation
160 : 420 = 420 : x - Step 2: Convert to fraction form
160/420 = 420/x - Step 3: Cross multiply
160x = 420 × 420 - Step 4: Simplify right side
160x = 176,400 - Step 5: Solve for x
x = 176,400/160 - Step 6: Final answer
x = 1,102.50
Related Problems
Find third proportional to 80 and 210
Half scale
Find third proportional to 320 and 840
Double scale
Find third proportional to 162 and 425
Similar ratio
Find third proportional to 240 and 630
1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.