Home / 202,110-313,821

Finding the Third Proportional to 202,110 and 313,821

Calculator

Solution

The third proportional to 202,110 and 313,821 is: 487,277.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,110 : 313,821 = 313,821 : x
  2. Step 2: Convert to fraction form
    202,110/313,821 = 313,821/x
  3. Step 3: Cross multiply
    202,110x = 313,821 × 313,821
  4. Step 4: Simplify right side
    202,110x = 98,483,620,041
  5. Step 5: Solve for x
    x = 98,483,620,041/202,110
  6. Step 6: Final answer
    x = 487,277.32

Related Problems

Find third proportional to 101,055 and 156,910.50
Half scale
Find third proportional to 404,220 and 627,642
Double scale
Find third proportional to 202,112 and 313,824
Similar ratio
Find third proportional to 303,165 and 470,731.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.