Home / 202,122-313,839

Finding the Third Proportional to 202,122 and 313,839

Calculator

Solution

The third proportional to 202,122 and 313,839 is: 487,304.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,122 : 313,839 = 313,839 : x
  2. Step 2: Convert to fraction form
    202,122/313,839 = 313,839/x
  3. Step 3: Cross multiply
    202,122x = 313,839 × 313,839
  4. Step 4: Simplify right side
    202,122x = 98,494,917,921
  5. Step 5: Solve for x
    x = 98,494,917,921/202,122
  6. Step 6: Final answer
    x = 487,304.29

Related Problems

Find third proportional to 101,061 and 156,919.50
Half scale
Find third proportional to 404,244 and 627,678
Double scale
Find third proportional to 202,124 and 313,842
Similar ratio
Find third proportional to 303,183 and 470,758.50
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.