Finding the Third Proportional to 324 and 416
Calculator
Solution
The third proportional to 324 and 416 is: 534.12
Step by Step Solution
- Step 1: Write the proportion equation
324 : 416 = 416 : x - Step 2: Convert to fraction form
324/416 = 416/x - Step 3: Cross multiply
324x = 416 × 416 - Step 4: Simplify right side
324x = 173,056 - Step 5: Solve for x
x = 173,056/324 - Step 6: Final answer
x = 534.12
Related Problems
Find third proportional to 162 and 208
Half scale
Find third proportional to 648 and 832
Double scale
Find third proportional to 326 and 419
Similar ratio
Find third proportional to 486 and 624
1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.