Home / 3,399-6,823

Finding the Third Proportional to 3,399 and 6,823

Calculator

Solution

The third proportional to 3,399 and 6,823 is: 13,696.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,399 : 6,823 = 6,823 : x
  2. Step 2: Convert to fraction form
    3,399/6,823 = 6,823/x
  3. Step 3: Cross multiply
    3,399x = 6,823 × 6,823
  4. Step 4: Simplify right side
    3,399x = 46,553,329
  5. Step 5: Solve for x
    x = 46,553,329/3,399
  6. Step 6: Final answer
    x = 13,696.18

Related Problems

Find third proportional to 1,699.50 and 3,411.50
Half scale
Find third proportional to 6,798 and 13,646
Double scale
Find third proportional to 3,401 and 6,827
Similar ratio
Find third proportional to 5,098.50 and 10,234.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.