Home / 8,111-15,949

Finding the Third Proportional to 8,111 and 15,949

Calculator

Solution

The third proportional to 8,111 and 15,949 is: 31,361.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111 : 15,949 = 15,949 : x
  2. Step 2: Convert to fraction form
    8,111/15,949 = 15,949/x
  3. Step 3: Cross multiply
    8,111x = 15,949 × 15,949
  4. Step 4: Simplify right side
    8,111x = 254,370,601
  5. Step 5: Solve for x
    x = 254,370,601/8,111
  6. Step 6: Final answer
    x = 31,361.19

Related Problems

Find third proportional to 4,055.50 and 7,974.50
Half scale
Find third proportional to 16,222 and 31,898
Double scale
Find third proportional to 8,113 and 15,953
Similar ratio
Find third proportional to 12,166.50 and 23,923.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.