Home / 3,206-3,539

Finding the Third Proportional to 3,206 and 3,539

Calculator

Solution

The third proportional to 3,206 and 3,539 is: 3,906.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206 : 3,539 = 3,539 : x
  2. Step 2: Convert to fraction form
    3,206/3,539 = 3,539/x
  3. Step 3: Cross multiply
    3,206x = 3,539 × 3,539
  4. Step 4: Simplify right side
    3,206x = 12,524,521
  5. Step 5: Solve for x
    x = 12,524,521/3,206
  6. Step 6: Final answer
    x = 3,906.59

Related Problems

Find third proportional to 1,603 and 1,769.50
Half scale
Find third proportional to 6,412 and 7,078
Double scale
Find third proportional to 3,208 and 3,541
Similar ratio
Find third proportional to 4,809 and 5,308.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.