Home / 204,510-313,904

Finding the Third Proportional to 204,510 and 313,904

Calculator

Solution

The third proportional to 204,510 and 313,904 is: 481,813.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,510 : 313,904 = 313,904 : x
  2. Step 2: Convert to fraction form
    204,510/313,904 = 313,904/x
  3. Step 3: Cross multiply
    204,510x = 313,904 × 313,904
  4. Step 4: Simplify right side
    204,510x = 98,535,721,216
  5. Step 5: Solve for x
    x = 98,535,721,216/204,510
  6. Step 6: Final answer
    x = 481,813.71

Related Problems

Find third proportional to 102,255 and 156,952
Half scale
Find third proportional to 409,020 and 627,808
Double scale
Find third proportional to 204,512 and 313,907
Similar ratio
Find third proportional to 306,765 and 470,856
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.