Finding the Third Proportional to 676 and 1,820
Calculator
Solution
The third proportional to 676 and 1,820 is: 4,900
Step by Step Solution
- Step 1: Write the proportion equation
676 : 1,820 = 1,820 : x - Step 2: Convert to fraction form
676/1,820 = 1,820/x - Step 3: Cross multiply
676x = 1,820 × 1,820 - Step 4: Simplify right side
676x = 3,312,400 - Step 5: Solve for x
x = 3,312,400/676 - Step 6: Final answer
x = 4,900
Related Problems
Find third proportional to 338 and 910
Half scale
Find third proportional to 1,352 and 3,640
Double scale
Find third proportional to 678 and 1,825
Similar ratio
Find third proportional to 1,014 and 2,730
1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.