Home / 111.80-163.69

Finding the Third Proportional to 111.80 and 163.69

Calculator

Solution

The third proportional to 111.80 and 163.69 is: 239.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.80 : 163.69 = 163.69 : x
  2. Step 2: Convert to fraction form
    111.80/163.69 = 163.69/x
  3. Step 3: Cross multiply
    111.80x = 163.69 × 163.69
  4. Step 4: Simplify right side
    111.80x = 26,793.60
  5. Step 5: Solve for x
    x = 26,793.60/111.80
  6. Step 6: Final answer
    x = 239.66

Related Problems

Find third proportional to 55.90 and 81.84
Half scale
Find third proportional to 223.59 and 327.38
Double scale
Find third proportional to 114 and 167
Similar ratio
Find third proportional to 167.70 and 245.53
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.