Home / 8,381-13,412

Finding the Third Proportional to 8,381 and 13,412

Calculator

Solution

The third proportional to 8,381 and 13,412 is: 21,463.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381 : 13,412 = 13,412 : x
  2. Step 2: Convert to fraction form
    8,381/13,412 = 13,412/x
  3. Step 3: Cross multiply
    8,381x = 13,412 × 13,412
  4. Step 4: Simplify right side
    8,381x = 179,881,744
  5. Step 5: Solve for x
    x = 179,881,744/8,381
  6. Step 6: Final answer
    x = 21,463.04

Related Problems

Find third proportional to 4,190.50 and 6,706
Half scale
Find third proportional to 16,762 and 26,824
Double scale
Find third proportional to 8,383 and 13,415
Similar ratio
Find third proportional to 12,571.50 and 20,118
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.