Finding the Third Proportional to 410 and 809
Calculator
Solution
The third proportional to 410 and 809 is: 1,596.30
Step by Step Solution
- Step 1: Write the proportion equation
410 : 809 = 809 : x - Step 2: Convert to fraction form
410/809 = 809/x - Step 3: Cross multiply
410x = 809 × 809 - Step 4: Simplify right side
410x = 654,481 - Step 5: Solve for x
x = 654,481/410 - Step 6: Final answer
x = 1,596.30
Related Problems
Find third proportional to 205 and 404.50
Half scale
Find third proportional to 820 and 1,618
Double scale
Find third proportional to 412 and 813
Similar ratio
Find third proportional to 615 and 1,213.50
1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.