Home / 11,938-16,206

Finding the Third Proportional to 11,938 and 16,206

Calculator

Solution

The third proportional to 11,938 and 16,206 is: 21,999.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,938 : 16,206 = 16,206 : x
  2. Step 2: Convert to fraction form
    11,938/16,206 = 16,206/x
  3. Step 3: Cross multiply
    11,938x = 16,206 × 16,206
  4. Step 4: Simplify right side
    11,938x = 262,634,436
  5. Step 5: Solve for x
    x = 262,634,436/11,938
  6. Step 6: Final answer
    x = 21,999.87

Related Problems

Find third proportional to 5,969 and 8,103
Half scale
Find third proportional to 23,876 and 32,412
Double scale
Find third proportional to 11,940 and 16,209
Similar ratio
Find third proportional to 17,907 and 24,309
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.