Home / 13,731-20,205

Finding the Third Proportional to 13,731 and 20,205

Calculator

Solution

The third proportional to 13,731 and 20,205 is: 29,731.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,731 : 20,205 = 20,205 : x
  2. Step 2: Convert to fraction form
    13,731/20,205 = 20,205/x
  3. Step 3: Cross multiply
    13,731x = 20,205 × 20,205
  4. Step 4: Simplify right side
    13,731x = 408,242,025
  5. Step 5: Solve for x
    x = 408,242,025/13,731
  6. Step 6: Final answer
    x = 29,731.41

Related Problems

Find third proportional to 6,865.50 and 10,102.50
Half scale
Find third proportional to 27,462 and 40,410
Double scale
Find third proportional to 13,733 and 20,208
Similar ratio
Find third proportional to 20,596.50 and 30,307.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.