Finding the Third Proportional to 505 and 680.50
Calculator
Solution
The third proportional to 505 and 680.50 is: 916.99
Step by Step Solution
- Step 1: Write the proportion equation
505 : 680.50 = 680.50 : x - Step 2: Convert to fraction form
505/680.50 = 680.50/x - Step 3: Cross multiply
505x = 680.50 × 680.50 - Step 4: Simplify right side
505x = 463,080.25 - Step 5: Solve for x
x = 463,080.25/505 - Step 6: Final answer
x = 916.99
Related Problems
Find third proportional to 252.50 and 340.25
Half scale
Find third proportional to 1,010 and 1,361
Double scale
Find third proportional to 507 and 683
Similar ratio
Find third proportional to 757.50 and 1,020.75
1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.