Home / 5,238-8,199

Finding the Third Proportional to 5,238 and 8,199

Calculator

Solution

The third proportional to 5,238 and 8,199 is: 12,833.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238 : 8,199 = 8,199 : x
  2. Step 2: Convert to fraction form
    5,238/8,199 = 8,199/x
  3. Step 3: Cross multiply
    5,238x = 8,199 × 8,199
  4. Step 4: Simplify right side
    5,238x = 67,223,601
  5. Step 5: Solve for x
    x = 67,223,601/5,238
  6. Step 6: Final answer
    x = 12,833.83

Related Problems

Find third proportional to 2,619 and 4,099.50
Half scale
Find third proportional to 10,476 and 16,398
Double scale
Find third proportional to 5,240 and 8,202
Similar ratio
Find third proportional to 7,857 and 12,298.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.