Home / 202,198-313,962

Finding the Third Proportional to 202,198 and 313,962

Calculator

Solution

The third proportional to 202,198 and 313,962 is: 487,503.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,198 : 313,962 = 313,962 : x
  2. Step 2: Convert to fraction form
    202,198/313,962 = 313,962/x
  3. Step 3: Cross multiply
    202,198x = 313,962 × 313,962
  4. Step 4: Simplify right side
    202,198x = 98,572,137,444
  5. Step 5: Solve for x
    x = 98,572,137,444/202,198
  6. Step 6: Final answer
    x = 487,503.03

Related Problems

Find third proportional to 101,099 and 156,981
Half scale
Find third proportional to 404,396 and 627,924
Double scale
Find third proportional to 202,200 and 313,965
Similar ratio
Find third proportional to 303,297 and 470,943
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.