Home / 8,422-13,211

Finding the Third Proportional to 8,422 and 13,211

Calculator

Solution

The third proportional to 8,422 and 13,211 is: 20,723.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,422 : 13,211 = 13,211 : x
  2. Step 2: Convert to fraction form
    8,422/13,211 = 13,211/x
  3. Step 3: Cross multiply
    8,422x = 13,211 × 13,211
  4. Step 4: Simplify right side
    8,422x = 174,530,521
  5. Step 5: Solve for x
    x = 174,530,521/8,422
  6. Step 6: Final answer
    x = 20,723.17

Related Problems

Find third proportional to 4,211 and 6,605.50
Half scale
Find third proportional to 16,844 and 26,422
Double scale
Find third proportional to 8,424 and 13,214
Similar ratio
Find third proportional to 12,633 and 19,816.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.