Home / 4,024-8,489

Finding the Third Proportional to 4,024 and 8,489

Calculator

Solution

The third proportional to 4,024 and 8,489 is: 17,908.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,024 : 8,489 = 8,489 : x
  2. Step 2: Convert to fraction form
    4,024/8,489 = 8,489/x
  3. Step 3: Cross multiply
    4,024x = 8,489 × 8,489
  4. Step 4: Simplify right side
    4,024x = 72,063,121
  5. Step 5: Solve for x
    x = 72,063,121/4,024
  6. Step 6: Final answer
    x = 17,908.33

Related Problems

Find third proportional to 2,012 and 4,244.50
Half scale
Find third proportional to 8,048 and 16,978
Double scale
Find third proportional to 4,026 and 8,493
Similar ratio
Find third proportional to 6,036 and 12,733.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.