Finding the Third Proportional to 206 and 324
Calculator
Solution
The third proportional to 206 and 324 is: 509.59
Step by Step Solution
- Step 1: Write the proportion equation
206 : 324 = 324 : x - Step 2: Convert to fraction form
206/324 = 324/x - Step 3: Cross multiply
206x = 324 × 324 - Step 4: Simplify right side
206x = 104,976 - Step 5: Solve for x
x = 104,976/206 - Step 6: Final answer
x = 509.59
Related Problems
Find third proportional to 103 and 162
Half scale
Find third proportional to 412 and 648
Double scale
Find third proportional to 208 and 327
Similar ratio
Find third proportional to 309 and 486
1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.