Finding the Third Proportional to 2,110 and 3,165
Calculator
Solution
The third proportional to 2,110 and 3,165 is: 4,747.50
Step by Step Solution
- Step 1: Write the proportion equation
2,110 : 3,165 = 3,165 : x - Step 2: Convert to fraction form
2,110/3,165 = 3,165/x - Step 3: Cross multiply
2,110x = 3,165 × 3,165 - Step 4: Simplify right side
2,110x = 10,017,225 - Step 5: Solve for x
x = 10,017,225/2,110 - Step 6: Final answer
x = 4,747.50
Related Problems
Find third proportional to 1,055 and 1,582.50
Half scale
Find third proportional to 4,220 and 6,330
Double scale
Find third proportional to 2,112 and 3,168
Similar ratio
Find third proportional to 3,165 and 4,747.50
1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.