Finding the Third Proportional to 97 and 135.75
Calculator
Solution
The third proportional to 97 and 135.75 is: 189.98
Step by Step Solution
- Step 1: Write the proportion equation
97 : 135.75 = 135.75 : x - Step 2: Convert to fraction form
97/135.75 = 135.75/x - Step 3: Cross multiply
97x = 135.75 × 135.75 - Step 4: Simplify right side
97x = 18,428.06 - Step 5: Solve for x
x = 18,428.06/97 - Step 6: Final answer
x = 189.98
Related Problems
Find third proportional to 48.50 and 67.88
Half scale
Find third proportional to 194 and 271.50
Double scale
Find third proportional to 99 and 139
Similar ratio
Find third proportional to 145.50 and 203.63
1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.