Home / 5,839-12,811

Finding the Third Proportional to 5,839 and 12,811

Calculator

Solution

The third proportional to 5,839 and 12,811 is: 28,107.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,839 : 12,811 = 12,811 : x
  2. Step 2: Convert to fraction form
    5,839/12,811 = 12,811/x
  3. Step 3: Cross multiply
    5,839x = 12,811 × 12,811
  4. Step 4: Simplify right side
    5,839x = 164,121,721
  5. Step 5: Solve for x
    x = 164,121,721/5,839
  6. Step 6: Final answer
    x = 28,107.85

Related Problems

Find third proportional to 2,919.50 and 6,405.50
Half scale
Find third proportional to 11,678 and 25,622
Double scale
Find third proportional to 5,841 and 12,815
Similar ratio
Find third proportional to 8,758.50 and 19,216.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.