Home / 3,800-8,212

Finding the Third Proportional to 3,800 and 8,212

Calculator

Solution

The third proportional to 3,800 and 8,212 is: 17,746.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800 : 8,212 = 8,212 : x
  2. Step 2: Convert to fraction form
    3,800/8,212 = 8,212/x
  3. Step 3: Cross multiply
    3,800x = 8,212 × 8,212
  4. Step 4: Simplify right side
    3,800x = 67,436,944
  5. Step 5: Solve for x
    x = 67,436,944/3,800
  6. Step 6: Final answer
    x = 17,746.56

Related Problems

Find third proportional to 1,900 and 4,106
Half scale
Find third proportional to 7,600 and 16,424
Double scale
Find third proportional to 3,802 and 8,216
Similar ratio
Find third proportional to 5,700 and 12,318
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.