Finding the Third Proportional to 685 and 1,211
Calculator
Solution
The third proportional to 685 and 1,211 is: 2,140.91
Step by Step Solution
- Step 1: Write the proportion equation
685 : 1,211 = 1,211 : x - Step 2: Convert to fraction form
685/1,211 = 1,211/x - Step 3: Cross multiply
685x = 1,211 × 1,211 - Step 4: Simplify right side
685x = 1,466,521 - Step 5: Solve for x
x = 1,466,521/685 - Step 6: Final answer
x = 2,140.91
Related Problems
Find third proportional to 342.50 and 605.50
Half scale
Find third proportional to 1,370 and 2,422
Double scale
Find third proportional to 687 and 1,215
Similar ratio
Find third proportional to 1,027.50 and 1,816.50
1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.