Finding the Third Proportional to 428 and 513
Calculator
Solution
The third proportional to 428 and 513 is: 614.88
Step by Step Solution
- Step 1: Write the proportion equation
428 : 513 = 513 : x - Step 2: Convert to fraction form
428/513 = 513/x - Step 3: Cross multiply
428x = 513 × 513 - Step 4: Simplify right side
428x = 263,169 - Step 5: Solve for x
x = 263,169/428 - Step 6: Final answer
x = 614.88
Related Problems
Find third proportional to 214 and 256.50
Half scale
Find third proportional to 856 and 1,026
Double scale
Find third proportional to 430 and 515
Similar ratio
Find third proportional to 642 and 769.50
1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.