Home / 451,407-685,974

Finding the Third Proportional to 451,407 and 685,974

Calculator

Solution

The third proportional to 451,407 and 685,974 is: 1,042,430.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,407 : 685,974 = 685,974 : x
  2. Step 2: Convert to fraction form
    451,407/685,974 = 685,974/x
  3. Step 3: Cross multiply
    451,407x = 685,974 × 685,974
  4. Step 4: Simplify right side
    451,407x = 470,560,328,676
  5. Step 5: Solve for x
    x = 470,560,328,676/451,407
  6. Step 6: Final answer
    x = 1,042,430.29

Related Problems

Find third proportional to 225,703.50 and 342,987
Half scale
Find third proportional to 902,814 and 1,371,948
Double scale
Find third proportional to 451,409 and 685,977
Similar ratio
Find third proportional to 677,110.50 and 1,028,961
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.