Finding the Third Proportional to 258 and 416
Calculator
Solution
The third proportional to 258 and 416 is: 670.76
Step by Step Solution
- Step 1: Write the proportion equation
258 : 416 = 416 : x - Step 2: Convert to fraction form
258/416 = 416/x - Step 3: Cross multiply
258x = 416 × 416 - Step 4: Simplify right side
258x = 173,056 - Step 5: Solve for x
x = 173,056/258 - Step 6: Final answer
x = 670.76
Related Problems
Find third proportional to 129 and 208
Half scale
Find third proportional to 516 and 832
Double scale
Find third proportional to 260 and 419
Similar ratio
Find third proportional to 387 and 624
1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.