Home / 202,108-313,824

Finding the Third Proportional to 202,108 and 313,824

Calculator

Solution

The third proportional to 202,108 and 313,824 is: 487,291.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,108 : 313,824 = 313,824 : x
  2. Step 2: Convert to fraction form
    202,108/313,824 = 313,824/x
  3. Step 3: Cross multiply
    202,108x = 313,824 × 313,824
  4. Step 4: Simplify right side
    202,108x = 98,485,502,976
  5. Step 5: Solve for x
    x = 98,485,502,976/202,108
  6. Step 6: Final answer
    x = 487,291.46

Related Problems

Find third proportional to 101,054 and 156,912
Half scale
Find third proportional to 404,216 and 627,648
Double scale
Find third proportional to 202,110 and 313,827
Similar ratio
Find third proportional to 303,162 and 470,736
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.