Home / 8,286-12,509

Finding the Third Proportional to 8,286 and 12,509

Calculator

Solution

The third proportional to 8,286 and 12,509 is: 18,884.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286 : 12,509 = 12,509 : x
  2. Step 2: Convert to fraction form
    8,286/12,509 = 12,509/x
  3. Step 3: Cross multiply
    8,286x = 12,509 × 12,509
  4. Step 4: Simplify right side
    8,286x = 156,475,081
  5. Step 5: Solve for x
    x = 156,475,081/8,286
  6. Step 6: Final answer
    x = 18,884.27

Related Problems

Find third proportional to 4,143 and 6,254.50
Half scale
Find third proportional to 16,572 and 25,018
Double scale
Find third proportional to 8,288 and 12,512
Similar ratio
Find third proportional to 12,429 and 18,763.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.