Home / 49.69-106.91

Finding the Third Proportional to 49.69 and 106.91

Calculator

Solution

The third proportional to 49.69 and 106.91 is: 230.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.69 : 106.91 = 106.91 : x
  2. Step 2: Convert to fraction form
    49.69/106.91 = 106.91/x
  3. Step 3: Cross multiply
    49.69x = 106.91 × 106.91
  4. Step 4: Simplify right side
    49.69x = 11,428.95
  5. Step 5: Solve for x
    x = 11,428.95/49.69
  6. Step 6: Final answer
    x = 230.02

Related Problems

Find third proportional to 24.84 and 53.45
Half scale
Find third proportional to 99.38 and 213.81
Double scale
Find third proportional to 52 and 111
Similar ratio
Find third proportional to 74.53 and 160.36
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.