Finding the Third Proportional to 106,460 and 231,819
Calculator
Solution
The third proportional to 106,460 and 231,819 is: 504,790.99
Step by Step Solution
- Step 1: Write the proportion equation
106,460 : 231,819 = 231,819 : x - Step 2: Convert to fraction form
106,460/231,819 = 231,819/x - Step 3: Cross multiply
106,460x = 231,819 × 231,819 - Step 4: Simplify right side
106,460x = 53,740,048,761 - Step 5: Solve for x
x = 53,740,048,761/106,460 - Step 6: Final answer
x = 504,790.99
Related Problems
Find third proportional to 53,230 and 115,909.50
Half scale
Find third proportional to 212,920 and 463,638
Double scale
Find third proportional to 106,462 and 231,823
Similar ratio
Find third proportional to 159,690 and 347,728.50
1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.