Finding the Third Proportional to 284 and 416
Calculator
Solution
The third proportional to 284 and 416 is: 609.35
Step by Step Solution
- Step 1: Write the proportion equation
284 : 416 = 416 : x - Step 2: Convert to fraction form
284/416 = 416/x - Step 3: Cross multiply
284x = 416 × 416 - Step 4: Simplify right side
284x = 173,056 - Step 5: Solve for x
x = 173,056/284 - Step 6: Final answer
x = 609.35
Related Problems
Find third proportional to 142 and 208
Half scale
Find third proportional to 568 and 832
Double scale
Find third proportional to 286 and 419
Similar ratio
Find third proportional to 426 and 624
1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.