Finding the Third Proportional to 2,270 and 3,405
Calculator
Solution
The third proportional to 2,270 and 3,405 is: 5,107.50
Step by Step Solution
- Step 1: Write the proportion equation
2,270 : 3,405 = 3,405 : x - Step 2: Convert to fraction form
2,270/3,405 = 3,405/x - Step 3: Cross multiply
2,270x = 3,405 × 3,405 - Step 4: Simplify right side
2,270x = 11,594,025 - Step 5: Solve for x
x = 11,594,025/2,270 - Step 6: Final answer
x = 5,107.50
Related Problems
Find third proportional to 1,135 and 1,702.50
Half scale
Find third proportional to 4,540 and 6,810
Double scale
Find third proportional to 2,272 and 3,408
Similar ratio
Find third proportional to 3,405 and 5,107.50
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.