Finding the Third Proportional to 78 and 195
Calculator
Solution
The third proportional to 78 and 195 is: 487.50
Step by Step Solution
- Step 1: Write the proportion equation
78 : 195 = 195 : x - Step 2: Convert to fraction form
78/195 = 195/x - Step 3: Cross multiply
78x = 195 × 195 - Step 4: Simplify right side
78x = 38,025 - Step 5: Solve for x
x = 38,025/78 - Step 6: Final answer
x = 487.50
Related Problems
Find third proportional to 39 and 97.50
Half scale
Find third proportional to 156 and 390
Double scale
Find third proportional to 80 and 200
Similar ratio
Find third proportional to 117 and 292.50
1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.