Home / 9,844-11,964

Finding the Third Proportional to 9,844 and 11,964

Calculator

Solution

The third proportional to 9,844 and 11,964 is: 14,540.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,844 : 11,964 = 11,964 : x
  2. Step 2: Convert to fraction form
    9,844/11,964 = 11,964/x
  3. Step 3: Cross multiply
    9,844x = 11,964 × 11,964
  4. Step 4: Simplify right side
    9,844x = 143,137,296
  5. Step 5: Solve for x
    x = 143,137,296/9,844
  6. Step 6: Final answer
    x = 14,540.56

Related Problems

Find third proportional to 4,922 and 5,982
Half scale
Find third proportional to 19,688 and 23,928
Double scale
Find third proportional to 9,846 and 11,966
Similar ratio
Find third proportional to 14,766 and 17,946
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.