Home / 11,954-16,242

Finding the Third Proportional to 11,954 and 16,242

Calculator

Solution

The third proportional to 11,954 and 16,242 is: 22,068.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,954 : 16,242 = 16,242 : x
  2. Step 2: Convert to fraction form
    11,954/16,242 = 16,242/x
  3. Step 3: Cross multiply
    11,954x = 16,242 × 16,242
  4. Step 4: Simplify right side
    11,954x = 263,802,564
  5. Step 5: Solve for x
    x = 263,802,564/11,954
  6. Step 6: Final answer
    x = 22,068.14

Related Problems

Find third proportional to 5,977 and 8,121
Half scale
Find third proportional to 23,908 and 32,484
Double scale
Find third proportional to 11,956 and 16,245
Similar ratio
Find third proportional to 17,931 and 24,363
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.