Finding the Third Proportional to 19,500 and 31,403
Calculator
Solution
The third proportional to 19,500 and 31,403 is: 50,571.71
Step by Step Solution
- Step 1: Write the proportion equation
19,500 : 31,403 = 31,403 : x - Step 2: Convert to fraction form
19,500/31,403 = 31,403/x - Step 3: Cross multiply
19,500x = 31,403 × 31,403 - Step 4: Simplify right side
19,500x = 986,148,409 - Step 5: Solve for x
x = 986,148,409/19,500 - Step 6: Final answer
x = 50,571.71
Related Problems
Find third proportional to 9,750 and 15,701.50
Half scale
Find third proportional to 39,000 and 62,806
Double scale
Find third proportional to 19,502 and 31,406
Similar ratio
Find third proportional to 29,250 and 47,104.50
1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.