Home / 9,741-11,847

Finding the Third Proportional to 9,741 and 11,847

Calculator

Solution

The third proportional to 9,741 and 11,847 is: 14,408.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,741 : 11,847 = 11,847 : x
  2. Step 2: Convert to fraction form
    9,741/11,847 = 11,847/x
  3. Step 3: Cross multiply
    9,741x = 11,847 × 11,847
  4. Step 4: Simplify right side
    9,741x = 140,351,409
  5. Step 5: Solve for x
    x = 140,351,409/9,741
  6. Step 6: Final answer
    x = 14,408.32

Related Problems

Find third proportional to 4,870.50 and 5,923.50
Half scale
Find third proportional to 19,482 and 23,694
Double scale
Find third proportional to 9,743 and 11,849
Similar ratio
Find third proportional to 14,611.50 and 17,770.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.