Finding the Third Proportional to 209 and 462.50
Calculator
Solution
The third proportional to 209 and 462.50 is: 1,023.47
Step by Step Solution
- Step 1: Write the proportion equation
209 : 462.50 = 462.50 : x - Step 2: Convert to fraction form
209/462.50 = 462.50/x - Step 3: Cross multiply
209x = 462.50 × 462.50 - Step 4: Simplify right side
209x = 213,906.25 - Step 5: Solve for x
x = 213,906.25/209 - Step 6: Final answer
x = 1,023.47
Related Problems
Find third proportional to 104.50 and 231.25
Half scale
Find third proportional to 418 and 925
Double scale
Find third proportional to 211 and 467
Similar ratio
Find third proportional to 313.50 and 693.75
1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.