Home / 13,824-22,288

Finding the Third Proportional to 13,824 and 22,288

Calculator

Solution

The third proportional to 13,824 and 22,288 is: 35,934.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,824 : 22,288 = 22,288 : x
  2. Step 2: Convert to fraction form
    13,824/22,288 = 22,288/x
  3. Step 3: Cross multiply
    13,824x = 22,288 × 22,288
  4. Step 4: Simplify right side
    13,824x = 496,754,944
  5. Step 5: Solve for x
    x = 496,754,944/13,824
  6. Step 6: Final answer
    x = 35,934.24

Related Problems

Find third proportional to 6,912 and 11,144
Half scale
Find third proportional to 27,648 and 44,576
Double scale
Find third proportional to 13,826 and 22,291
Similar ratio
Find third proportional to 20,736 and 33,432
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.