Finding the Third Proportional to 286 and 312
Calculator
Solution
The third proportional to 286 and 312 is: 340.36
Step by Step Solution
- Step 1: Write the proportion equation
286 : 312 = 312 : x - Step 2: Convert to fraction form
286/312 = 312/x - Step 3: Cross multiply
286x = 312 × 312 - Step 4: Simplify right side
286x = 97,344 - Step 5: Solve for x
x = 97,344/286 - Step 6: Final answer
x = 340.36
Related Problems
Find third proportional to 143 and 156
Half scale
Find third proportional to 572 and 624
Double scale
Find third proportional to 288 and 314
Similar ratio
Find third proportional to 429 and 468
1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.