Finding the Third Proportional to 21,356 and 31,211
Calculator
Solution
The third proportional to 21,356 and 31,211 is: 45,613.72
Step by Step Solution
- Step 1: Write the proportion equation
21,356 : 31,211 = 31,211 : x - Step 2: Convert to fraction form
21,356/31,211 = 31,211/x - Step 3: Cross multiply
21,356x = 31,211 × 31,211 - Step 4: Simplify right side
21,356x = 974,126,521 - Step 5: Solve for x
x = 974,126,521/21,356 - Step 6: Final answer
x = 45,613.72
Related Problems
Find third proportional to 10,678 and 15,605.50
Half scale
Find third proportional to 42,712 and 62,422
Double scale
Find third proportional to 21,358 and 31,214
Similar ratio
Find third proportional to 32,034 and 46,816.50
1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.