Home / 12,192-16,214

Finding the Third Proportional to 12,192 and 16,214

Calculator

Solution

The third proportional to 12,192 and 16,214 is: 21,562.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,192 : 16,214 = 16,214 : x
  2. Step 2: Convert to fraction form
    12,192/16,214 = 16,214/x
  3. Step 3: Cross multiply
    12,192x = 16,214 × 16,214
  4. Step 4: Simplify right side
    12,192x = 262,893,796
  5. Step 5: Solve for x
    x = 262,893,796/12,192
  6. Step 6: Final answer
    x = 21,562.81

Related Problems

Find third proportional to 6,096 and 8,107
Half scale
Find third proportional to 24,384 and 32,428
Double scale
Find third proportional to 12,194 and 16,217
Similar ratio
Find third proportional to 18,288 and 24,321
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.