Home / 13,689-18,198

Finding the Third Proportional to 13,689 and 18,198

Calculator

Solution

The third proportional to 13,689 and 18,198 is: 24,192.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,689 : 18,198 = 18,198 : x
  2. Step 2: Convert to fraction form
    13,689/18,198 = 18,198/x
  3. Step 3: Cross multiply
    13,689x = 18,198 × 18,198
  4. Step 4: Simplify right side
    13,689x = 331,167,204
  5. Step 5: Solve for x
    x = 331,167,204/13,689
  6. Step 6: Final answer
    x = 24,192.21

Related Problems

Find third proportional to 6,844.50 and 9,099
Half scale
Find third proportional to 27,378 and 36,396
Double scale
Find third proportional to 13,691 and 18,201
Similar ratio
Find third proportional to 20,533.50 and 27,297
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.