Home / 147,338-313,902

Finding the Third Proportional to 147,338 and 313,902

Calculator

Solution

The third proportional to 147,338 and 313,902 is: 668,764.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,338 : 313,902 = 313,902 : x
  2. Step 2: Convert to fraction form
    147,338/313,902 = 313,902/x
  3. Step 3: Cross multiply
    147,338x = 313,902 × 313,902
  4. Step 4: Simplify right side
    147,338x = 98,534,465,604
  5. Step 5: Solve for x
    x = 98,534,465,604/147,338
  6. Step 6: Final answer
    x = 668,764.78

Related Problems

Find third proportional to 73,669 and 156,951
Half scale
Find third proportional to 294,676 and 627,804
Double scale
Find third proportional to 147,340 and 313,906
Similar ratio
Find third proportional to 221,007 and 470,853
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.