Finding the Third Proportional to 419 and 456.50
Calculator
Solution
The third proportional to 419 and 456.50 is: 497.36
Step by Step Solution
- Step 1: Write the proportion equation
419 : 456.50 = 456.50 : x - Step 2: Convert to fraction form
419/456.50 = 456.50/x - Step 3: Cross multiply
419x = 456.50 × 456.50 - Step 4: Simplify right side
419x = 208,392.25 - Step 5: Solve for x
x = 208,392.25/419 - Step 6: Final answer
x = 497.36
Related Problems
Find third proportional to 209.50 and 228.25
Half scale
Find third proportional to 838 and 913
Double scale
Find third proportional to 421 and 459
Similar ratio
Find third proportional to 628.50 and 684.75
1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.