Home / 109.13-231.19

Finding the Third Proportional to 109.13 and 231.19

Calculator

Solution

The third proportional to 109.13 and 231.19 is: 489.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.13 : 231.19 = 231.19 : x
  2. Step 2: Convert to fraction form
    109.13/231.19 = 231.19/x
  3. Step 3: Cross multiply
    109.13x = 231.19 × 231.19
  4. Step 4: Simplify right side
    109.13x = 53,447.66
  5. Step 5: Solve for x
    x = 53,447.66/109.13
  6. Step 6: Final answer
    x = 489.78

Related Problems

Find third proportional to 54.56 and 115.59
Half scale
Find third proportional to 218.25 and 462.38
Double scale
Find third proportional to 111 and 235
Similar ratio
Find third proportional to 163.69 and 346.78
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.