Home / 12,234-16,812

Finding the Third Proportional to 12,234 and 16,812

Calculator

Solution

The third proportional to 12,234 and 16,812 is: 23,103.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,234 : 16,812 = 16,812 : x
  2. Step 2: Convert to fraction form
    12,234/16,812 = 16,812/x
  3. Step 3: Cross multiply
    12,234x = 16,812 × 16,812
  4. Step 4: Simplify right side
    12,234x = 282,643,344
  5. Step 5: Solve for x
    x = 282,643,344/12,234
  6. Step 6: Final answer
    x = 23,103.10

Related Problems

Find third proportional to 6,117 and 8,406
Half scale
Find third proportional to 24,468 and 33,624
Double scale
Find third proportional to 12,236 and 16,815
Similar ratio
Find third proportional to 18,351 and 25,218
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.