Home / 10,106-22,198

Finding the Third Proportional to 10,106 and 22,198

Calculator

Solution

The third proportional to 10,106 and 22,198 is: 48,758.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,106 : 22,198 = 22,198 : x
  2. Step 2: Convert to fraction form
    10,106/22,198 = 22,198/x
  3. Step 3: Cross multiply
    10,106x = 22,198 × 22,198
  4. Step 4: Simplify right side
    10,106x = 492,751,204
  5. Step 5: Solve for x
    x = 492,751,204/10,106
  6. Step 6: Final answer
    x = 48,758.28

Related Problems

Find third proportional to 5,053 and 11,099
Half scale
Find third proportional to 20,212 and 44,396
Double scale
Find third proportional to 10,108 and 22,202
Similar ratio
Find third proportional to 15,159 and 33,297
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.