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

Find third proportional to 1,001 and 1,604.50
Half scale
Find third proportional to 4,004 and 6,418
Double scale
Find third proportional to 2,004 and 3,212
Similar ratio
Find third proportional to 3,003 and 4,813.50
1.5x scale

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.