Home / 8,022-11,964

Finding the Third Proportional to 8,022 and 11,964

Calculator

Solution

The third proportional to 8,022 and 11,964 is: 17,843.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,022 : 11,964 = 11,964 : x
  2. Step 2: Convert to fraction form
    8,022/11,964 = 11,964/x
  3. Step 3: Cross multiply
    8,022x = 11,964 × 11,964
  4. Step 4: Simplify right side
    8,022x = 143,137,296
  5. Step 5: Solve for x
    x = 143,137,296/8,022
  6. Step 6: Final answer
    x = 17,843.09

Related Problems

Find third proportional to 4,011 and 5,982
Half scale
Find third proportional to 16,044 and 23,928
Double scale
Find third proportional to 8,024 and 11,967
Similar ratio
Find third proportional to 12,033 and 17,946
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.