Home / 49,910-109,198

Finding the Third Proportional to 49,910 and 109,198

Calculator

Solution

The third proportional to 49,910 and 109,198 is: 238,914.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,910 : 109,198 = 109,198 : x
  2. Step 2: Convert to fraction form
    49,910/109,198 = 109,198/x
  3. Step 3: Cross multiply
    49,910x = 109,198 × 109,198
  4. Step 4: Simplify right side
    49,910x = 11,924,203,204
  5. Step 5: Solve for x
    x = 11,924,203,204/49,910
  6. Step 6: Final answer
    x = 238,914.11

Related Problems

Find third proportional to 24,955 and 54,599
Half scale
Find third proportional to 99,820 and 218,396
Double scale
Find third proportional to 49,912 and 109,202
Similar ratio
Find third proportional to 74,865 and 163,797
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.