Home / 3,203-5,686

Finding the Third Proportional to 3,203 and 5,686

Calculator

Solution

The third proportional to 3,203 and 5,686 is: 10,093.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203 : 5,686 = 5,686 : x
  2. Step 2: Convert to fraction form
    3,203/5,686 = 5,686/x
  3. Step 3: Cross multiply
    3,203x = 5,686 × 5,686
  4. Step 4: Simplify right side
    3,203x = 32,330,596
  5. Step 5: Solve for x
    x = 32,330,596/3,203
  6. Step 6: Final answer
    x = 10,093.85

Related Problems

Find third proportional to 1,601.50 and 2,843
Half scale
Find third proportional to 6,406 and 11,372
Double scale
Find third proportional to 3,205 and 5,690
Similar ratio
Find third proportional to 4,804.50 and 8,529
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.