Home / 202,208-313,974

Finding the Third Proportional to 202,208 and 313,974

Calculator

Solution

The third proportional to 202,208 and 313,974 is: 487,516.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,208 : 313,974 = 313,974 : x
  2. Step 2: Convert to fraction form
    202,208/313,974 = 313,974/x
  3. Step 3: Cross multiply
    202,208x = 313,974 × 313,974
  4. Step 4: Simplify right side
    202,208x = 98,579,672,676
  5. Step 5: Solve for x
    x = 98,579,672,676/202,208
  6. Step 6: Final answer
    x = 487,516.18

Related Problems

Find third proportional to 101,104 and 156,987
Half scale
Find third proportional to 404,416 and 627,948
Double scale
Find third proportional to 202,210 and 313,977
Similar ratio
Find third proportional to 303,312 and 470,961
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.