Home / 12,198-16,566

Finding the Third Proportional to 12,198 and 16,566

Calculator

Solution

The third proportional to 12,198 and 16,566 is: 22,498.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,198 : 16,566 = 16,566 : x
  2. Step 2: Convert to fraction form
    12,198/16,566 = 16,566/x
  3. Step 3: Cross multiply
    12,198x = 16,566 × 16,566
  4. Step 4: Simplify right side
    12,198x = 274,432,356
  5. Step 5: Solve for x
    x = 274,432,356/12,198
  6. Step 6: Final answer
    x = 22,498.14

Related Problems

Find third proportional to 6,099 and 8,283
Half scale
Find third proportional to 24,396 and 33,132
Double scale
Find third proportional to 12,200 and 16,569
Similar ratio
Find third proportional to 18,297 and 24,849
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.