Finding the Third Proportional to 176 and 286
Calculator
Solution
The third proportional to 176 and 286 is: 464.75
Step by Step Solution
- Step 1: Write the proportion equation
176 : 286 = 286 : x - Step 2: Convert to fraction form
176/286 = 286/x - Step 3: Cross multiply
176x = 286 × 286 - Step 4: Simplify right side
176x = 81,796 - Step 5: Solve for x
x = 81,796/176 - Step 6: Final answer
x = 464.75
Related Problems
Find third proportional to 88 and 143
Half scale
Find third proportional to 352 and 572
Double scale
Find third proportional to 178 and 289
Similar ratio
Find third proportional to 264 and 429
1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.