Home / 109.50-119

Finding the Third Proportional to 109.50 and 119

Calculator

Solution

The third proportional to 109.50 and 119 is: 129.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.50 : 119 = 119 : x
  2. Step 2: Convert to fraction form
    109.50/119 = 119/x
  3. Step 3: Cross multiply
    109.50x = 119 × 119
  4. Step 4: Simplify right side
    109.50x = 14,161
  5. Step 5: Solve for x
    x = 14,161/109.50
  6. Step 6: Final answer
    x = 129.32

Related Problems

Find third proportional to 54.75 and 59.50
Half scale
Find third proportional to 219 and 238
Double scale
Find third proportional to 112 and 121
Similar ratio
Find third proportional to 164.25 and 178.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.