Finding the Third Proportional to 105,874 and 164,114
Calculator
Solution
The third proportional to 105,874 and 164,114 is: 254,391.12
Step by Step Solution
- Step 1: Write the proportion equation
105,874 : 164,114 = 164,114 : x - Step 2: Convert to fraction form
105,874/164,114 = 164,114/x - Step 3: Cross multiply
105,874x = 164,114 × 164,114 - Step 4: Simplify right side
105,874x = 26,933,404,996 - Step 5: Solve for x
x = 26,933,404,996/105,874 - Step 6: Final answer
x = 254,391.12
Related Problems
Find third proportional to 52,937 and 82,057
Half scale
Find third proportional to 211,748 and 328,228
Double scale
Find third proportional to 105,876 and 164,117
Similar ratio
Find third proportional to 158,811 and 246,171
1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.