Home / 110-121

Finding the Third Proportional to 110 and 121

Calculator

Solution

The third proportional to 110 and 121 is: 133.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    110 : 121 = 121 : x
  2. Step 2: Convert to fraction form
    110/121 = 121/x
  3. Step 3: Cross multiply
    110x = 121 × 121
  4. Step 4: Simplify right side
    110x = 14,641
  5. Step 5: Solve for x
    x = 14,641/110
  6. Step 6: Final answer
    x = 133.10

Related Problems

Find third proportional to 55 and 60.50
Half scale
Find third proportional to 220 and 242
Double scale
Find third proportional to 112 and 123
Similar ratio
Find third proportional to 165 and 181.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.