Finding the Third Proportional to 1,821.23 and 4,206.09
Calculator
Solution
The third proportional to 1,821.23 and 4,206.09 is: 9,713.86
Step by Step Solution
- Step 1: Write the proportion equation
1,821.23 : 4,206.09 = 4,206.09 : x - Step 2: Convert to fraction form
1,821.23/4,206.09 = 4,206.09/x - Step 3: Cross multiply
1,821.23x = 4,206.09 × 4,206.09 - Step 4: Simplify right side
1,821.23x = 17,691,224.63 - Step 5: Solve for x
x = 17,691,224.63/1,821.23 - Step 6: Final answer
x = 9,713.86
Related Problems
Find third proportional to 910.62 and 2,103.05
Half scale
Find third proportional to 3,642.47 and 8,412.19
Double scale
Find third proportional to 1,823 and 4,211
Similar ratio
Find third proportional to 2,731.85 and 6,309.14
1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.