Home / 10,962-13,149

Finding the Third Proportional to 10,962 and 13,149

Calculator

Solution

The third proportional to 10,962 and 13,149 is: 15,772.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,962 : 13,149 = 13,149 : x
  2. Step 2: Convert to fraction form
    10,962/13,149 = 13,149/x
  3. Step 3: Cross multiply
    10,962x = 13,149 × 13,149
  4. Step 4: Simplify right side
    10,962x = 172,896,201
  5. Step 5: Solve for x
    x = 172,896,201/10,962
  6. Step 6: Final answer
    x = 15,772.32

Related Problems

Find third proportional to 5,481 and 6,574.50
Half scale
Find third proportional to 21,924 and 26,298
Double scale
Find third proportional to 10,964 and 13,151
Similar ratio
Find third proportional to 16,443 and 19,723.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.