Home / 12,106-18,341

Finding the Third Proportional to 12,106 and 18,341

Calculator

Solution

The third proportional to 12,106 and 18,341 is: 27,787.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,106 : 18,341 = 18,341 : x
  2. Step 2: Convert to fraction form
    12,106/18,341 = 18,341/x
  3. Step 3: Cross multiply
    12,106x = 18,341 × 18,341
  4. Step 4: Simplify right side
    12,106x = 336,392,281
  5. Step 5: Solve for x
    x = 336,392,281/12,106
  6. Step 6: Final answer
    x = 27,787.24

Related Problems

Find third proportional to 6,053 and 9,170.50
Half scale
Find third proportional to 24,212 and 36,682
Double scale
Find third proportional to 12,108 and 18,344
Similar ratio
Find third proportional to 18,159 and 27,511.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.