Finding the Third Proportional to 314 and 727.50
Calculator
Solution
The third proportional to 314 and 727.50 is: 1,685.53
Step by Step Solution
- Step 1: Write the proportion equation
314 : 727.50 = 727.50 : x - Step 2: Convert to fraction form
314/727.50 = 727.50/x - Step 3: Cross multiply
314x = 727.50 × 727.50 - Step 4: Simplify right side
314x = 529,256.25 - Step 5: Solve for x
x = 529,256.25/314 - Step 6: Final answer
x = 1,685.53
Related Problems
Find third proportional to 157 and 363.75
Half scale
Find third proportional to 628 and 1,455
Double scale
Find third proportional to 316 and 732
Similar ratio
Find third proportional to 471 and 1,091.25
1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.