Home / 2,002-3,209

Finding the Third Proportional to 2,002 and 3,209

Calculator

Solution

The third proportional to 2,002 and 3,209 is: 5,143.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002 : 3,209 = 3,209 : x
  2. Step 2: Convert to fraction form
    2,002/3,209 = 3,209/x
  3. Step 3: Cross multiply
    2,002x = 3,209 × 3,209
  4. Step 4: Simplify right side
    2,002x = 10,297,681
  5. Step 5: Solve for x
    x = 10,297,681/2,002
  6. Step 6: Final answer
    x = 5,143.70

Related Problems

Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.