Home / 5,309-11,198

Finding the Third Proportional to 5,309 and 11,198

Calculator

Solution

The third proportional to 5,309 and 11,198 is: 23,619.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309 : 11,198 = 11,198 : x
  2. Step 2: Convert to fraction form
    5,309/11,198 = 11,198/x
  3. Step 3: Cross multiply
    5,309x = 11,198 × 11,198
  4. Step 4: Simplify right side
    5,309x = 125,395,204
  5. Step 5: Solve for x
    x = 125,395,204/5,309
  6. Step 6: Final answer
    x = 23,619.36

Related Problems

Find third proportional to 2,654.50 and 5,599
Half scale
Find third proportional to 10,618 and 22,396
Double scale
Find third proportional to 5,311 and 11,202
Similar ratio
Find third proportional to 7,963.50 and 16,797
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.