Home / 8,204-11,138

Finding the Third Proportional to 8,204 and 11,138

Calculator

Solution

The third proportional to 8,204 and 11,138 is: 15,121.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204 : 11,138 = 11,138 : x
  2. Step 2: Convert to fraction form
    8,204/11,138 = 11,138/x
  3. Step 3: Cross multiply
    8,204x = 11,138 × 11,138
  4. Step 4: Simplify right side
    8,204x = 124,055,044
  5. Step 5: Solve for x
    x = 124,055,044/8,204
  6. Step 6: Final answer
    x = 15,121.29

Related Problems

Find third proportional to 4,102 and 5,569
Half scale
Find third proportional to 16,408 and 22,276
Double scale
Find third proportional to 8,206 and 11,141
Similar ratio
Find third proportional to 12,306 and 16,707
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.