Finding the Third Proportional to 322 and 344
Calculator
Solution
The third proportional to 322 and 344 is: 367.50
Step by Step Solution
- Step 1: Write the proportion equation
322 : 344 = 344 : x - Step 2: Convert to fraction form
322/344 = 344/x - Step 3: Cross multiply
322x = 344 × 344 - Step 4: Simplify right side
322x = 118,336 - Step 5: Solve for x
x = 118,336/322 - Step 6: Final answer
x = 367.50
Related Problems
Find third proportional to 161 and 172
Half scale
Find third proportional to 644 and 688
Double scale
Find third proportional to 324 and 346
Similar ratio
Find third proportional to 483 and 516
1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.