Home / 8,224-13,520

Finding the Third Proportional to 8,224 and 13,520

Calculator

Solution

The third proportional to 8,224 and 13,520 is: 22,226.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224 : 13,520 = 13,520 : x
  2. Step 2: Convert to fraction form
    8,224/13,520 = 13,520/x
  3. Step 3: Cross multiply
    8,224x = 13,520 × 13,520
  4. Step 4: Simplify right side
    8,224x = 182,790,400
  5. Step 5: Solve for x
    x = 182,790,400/8,224
  6. Step 6: Final answer
    x = 22,226.46

Related Problems

Find third proportional to 4,112 and 6,760
Half scale
Find third proportional to 16,448 and 27,040
Double scale
Find third proportional to 8,226 and 13,523
Similar ratio
Find third proportional to 12,336 and 20,280
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.