Home / 3,932-8,410

Finding the Third Proportional to 3,932 and 8,410

Calculator

Solution

The third proportional to 3,932 and 8,410 is: 17,987.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932 : 8,410 = 8,410 : x
  2. Step 2: Convert to fraction form
    3,932/8,410 = 8,410/x
  3. Step 3: Cross multiply
    3,932x = 8,410 × 8,410
  4. Step 4: Simplify right side
    3,932x = 70,728,100
  5. Step 5: Solve for x
    x = 70,728,100/3,932
  6. Step 6: Final answer
    x = 17,987.82

Related Problems

Find third proportional to 1,966 and 4,205
Half scale
Find third proportional to 7,864 and 16,820
Double scale
Find third proportional to 3,934 and 8,414
Similar ratio
Find third proportional to 5,898 and 12,615
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.