Finding the Third Proportional to 9,800 and 21,000
Calculator
Solution
The third proportional to 9,800 and 21,000 is: 45,000
Step by Step Solution
- Step 1: Write the proportion equation
9,800 : 21,000 = 21,000 : x - Step 2: Convert to fraction form
9,800/21,000 = 21,000/x - Step 3: Cross multiply
9,800x = 21,000 × 21,000 - Step 4: Simplify right side
9,800x = 441,000,000 - Step 5: Solve for x
x = 441,000,000/9,800 - Step 6: Final answer
x = 45,000
Related Problems
Find third proportional to 4,900 and 10,500
Half scale
Find third proportional to 19,600 and 42,000
Double scale
Find third proportional to 9,802 and 21,004
Similar ratio
Find third proportional to 14,700 and 31,500
1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.