Finding the Third Proportional to 210 and 314
Calculator
Solution
The third proportional to 210 and 314 is: 469.50
Step by Step Solution
- Step 1: Write the proportion equation
210 : 314 = 314 : x - Step 2: Convert to fraction form
210/314 = 314/x - Step 3: Cross multiply
210x = 314 × 314 - Step 4: Simplify right side
210x = 98,596 - Step 5: Solve for x
x = 98,596/210 - Step 6: Final answer
x = 469.50
Related Problems
Find third proportional to 105 and 157
Half scale
Find third proportional to 420 and 628
Double scale
Find third proportional to 212 and 317
Similar ratio
Find third proportional to 315 and 471
1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.