Home / 3,384-4,761

Finding the Third Proportional to 3,384 and 4,761

Calculator

Solution

The third proportional to 3,384 and 4,761 is: 6,698.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384 : 4,761 = 4,761 : x
  2. Step 2: Convert to fraction form
    3,384/4,761 = 4,761/x
  3. Step 3: Cross multiply
    3,384x = 4,761 × 4,761
  4. Step 4: Simplify right side
    3,384x = 22,667,121
  5. Step 5: Solve for x
    x = 22,667,121/3,384
  6. Step 6: Final answer
    x = 6,698.32

Related Problems

Find third proportional to 1,692 and 2,380.50
Half scale
Find third proportional to 6,768 and 9,522
Double scale
Find third proportional to 3,386 and 4,764
Similar ratio
Find third proportional to 5,076 and 7,141.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.