Home / 2,104-4,208

Finding the Third Proportional to 2,104 and 4,208

Calculator

Solution

The third proportional to 2,104 and 4,208 is: 8,416

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104 : 4,208 = 4,208 : x
  2. Step 2: Convert to fraction form
    2,104/4,208 = 4,208/x
  3. Step 3: Cross multiply
    2,104x = 4,208 × 4,208
  4. Step 4: Simplify right side
    2,104x = 17,707,264
  5. Step 5: Solve for x
    x = 17,707,264/2,104
  6. Step 6: Final answer
    x = 8,416

Related Problems

Find third proportional to 1,052 and 2,104
Half scale
Find third proportional to 4,208 and 8,416
Double scale
Find third proportional to 2,106 and 4,212
Similar ratio
Find third proportional to 3,156 and 6,312
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.