Home / 3,823-8,105

Finding the Third Proportional to 3,823 and 8,105

Calculator

Solution

The third proportional to 3,823 and 8,105 is: 17,183.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823 : 8,105 = 8,105 : x
  2. Step 2: Convert to fraction form
    3,823/8,105 = 8,105/x
  3. Step 3: Cross multiply
    3,823x = 8,105 × 8,105
  4. Step 4: Simplify right side
    3,823x = 65,691,025
  5. Step 5: Solve for x
    x = 65,691,025/3,823
  6. Step 6: Final answer
    x = 17,183.11

Related Problems

Find third proportional to 1,911.50 and 4,052.50
Half scale
Find third proportional to 7,646 and 16,210
Double scale
Find third proportional to 3,825 and 8,109
Similar ratio
Find third proportional to 5,734.50 and 12,157.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.