Finding the Third Proportional to 73 and 142.25
Calculator
Solution
The third proportional to 73 and 142.25 is: 277.19
Step by Step Solution
- Step 1: Write the proportion equation
73 : 142.25 = 142.25 : x - Step 2: Convert to fraction form
73/142.25 = 142.25/x - Step 3: Cross multiply
73x = 142.25 × 142.25 - Step 4: Simplify right side
73x = 20,235.06 - Step 5: Solve for x
x = 20,235.06/73 - Step 6: Final answer
x = 277.19
Related Problems
Find third proportional to 36.50 and 71.13
Half scale
Find third proportional to 146 and 284.50
Double scale
Find third proportional to 75 and 146
Similar ratio
Find third proportional to 109.50 and 213.38
1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.