Finding the Third Proportional to 306 and 412
Calculator
Solution
The third proportional to 306 and 412 is: 554.72
Step by Step Solution
- Step 1: Write the proportion equation
306 : 412 = 412 : x - Step 2: Convert to fraction form
306/412 = 412/x - Step 3: Cross multiply
306x = 412 × 412 - Step 4: Simplify right side
306x = 169,744 - Step 5: Solve for x
x = 169,744/306 - Step 6: Final answer
x = 554.72
Related Problems
Find third proportional to 153 and 206
Half scale
Find third proportional to 612 and 824
Double scale
Find third proportional to 308 and 415
Similar ratio
Find third proportional to 459 and 618
1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.