Home / 20,406-45,198

Finding the Third Proportional to 20,406 and 45,198

Calculator

Solution

The third proportional to 20,406 and 45,198 is: 100,110.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,406 : 45,198 = 45,198 : x
  2. Step 2: Convert to fraction form
    20,406/45,198 = 45,198/x
  3. Step 3: Cross multiply
    20,406x = 45,198 × 45,198
  4. Step 4: Simplify right side
    20,406x = 2,042,859,204
  5. Step 5: Solve for x
    x = 2,042,859,204/20,406
  6. Step 6: Final answer
    x = 100,110.71

Related Problems

Find third proportional to 10,203 and 22,599
Half scale
Find third proportional to 40,812 and 90,396
Double scale
Find third proportional to 20,408 and 45,202
Similar ratio
Find third proportional to 30,609 and 67,797
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.