Home / 9-22

Finding the Third Proportional to 9 and 22

Calculator

Solution

The third proportional to 9 and 22 is: 53.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9 : 22 = 22 : x
  2. Step 2: Convert to fraction form
    9/22 = 22/x
  3. Step 3: Cross multiply
    9x = 22 × 22
  4. Step 4: Simplify right side
    9x = 484
  5. Step 5: Solve for x
    x = 484/9
  6. Step 6: Final answer
    x = 53.78

Related Problems

Find third proportional to 4.50 and 11
Half scale
Find third proportional to 18 and 44
Double scale
Find third proportional to 11 and 27
Similar ratio
Find third proportional to 13.50 and 33
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.