Finding the Third Proportional to 364 and 407
Calculator
Solution
The third proportional to 364 and 407 is: 455.08
Step by Step Solution
- Step 1: Write the proportion equation
364 : 407 = 407 : x - Step 2: Convert to fraction form
364/407 = 407/x - Step 3: Cross multiply
364x = 407 × 407 - Step 4: Simplify right side
364x = 165,649 - Step 5: Solve for x
x = 165,649/364 - Step 6: Final answer
x = 455.08
Related Problems
Find third proportional to 182 and 203.50
Half scale
Find third proportional to 728 and 814
Double scale
Find third proportional to 366 and 409
Similar ratio
Find third proportional to 546 and 610.50
1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.