Home / 13,814-16,226

Finding the Third Proportional to 13,814 and 16,226

Calculator

Solution

The third proportional to 13,814 and 16,226 is: 19,059.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,814 : 16,226 = 16,226 : x
  2. Step 2: Convert to fraction form
    13,814/16,226 = 16,226/x
  3. Step 3: Cross multiply
    13,814x = 16,226 × 16,226
  4. Step 4: Simplify right side
    13,814x = 263,283,076
  5. Step 5: Solve for x
    x = 263,283,076/13,814
  6. Step 6: Final answer
    x = 19,059.15

Related Problems

Find third proportional to 6,907 and 8,113
Half scale
Find third proportional to 27,628 and 32,452
Double scale
Find third proportional to 13,816 and 16,228
Similar ratio
Find third proportional to 20,721 and 24,339
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.