Finding the Third Proportional to 1,686 and 1,958
Calculator
Solution
The third proportional to 1,686 and 1,958 is: 2,273.88
Step by Step Solution
- Step 1: Write the proportion equation
1,686 : 1,958 = 1,958 : x - Step 2: Convert to fraction form
1,686/1,958 = 1,958/x - Step 3: Cross multiply
1,686x = 1,958 × 1,958 - Step 4: Simplify right side
1,686x = 3,833,764 - Step 5: Solve for x
x = 3,833,764/1,686 - Step 6: Final answer
x = 2,273.88
Related Problems
Find third proportional to 843 and 979
Half scale
Find third proportional to 3,372 and 3,916
Double scale
Find third proportional to 1,688 and 1,960
Similar ratio
Find third proportional to 2,529 and 2,937
1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.