Home / 2,038-3,399

Finding the Third Proportional to 2,038 and 3,399

Calculator

Solution

The third proportional to 2,038 and 3,399 is: 5,668.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038 : 3,399 = 3,399 : x
  2. Step 2: Convert to fraction form
    2,038/3,399 = 3,399/x
  3. Step 3: Cross multiply
    2,038x = 3,399 × 3,399
  4. Step 4: Simplify right side
    2,038x = 11,553,201
  5. Step 5: Solve for x
    x = 11,553,201/2,038
  6. Step 6: Final answer
    x = 5,668.89

Related Problems

Find third proportional to 1,019 and 1,699.50
Half scale
Find third proportional to 4,076 and 6,798
Double scale
Find third proportional to 2,040 and 3,402
Similar ratio
Find third proportional to 3,057 and 5,098.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.