Home / 8,192-11,120

Finding the Third Proportional to 8,192 and 11,120

Calculator

Solution

The third proportional to 8,192 and 11,120 is: 15,094.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192 : 11,120 = 11,120 : x
  2. Step 2: Convert to fraction form
    8,192/11,120 = 11,120/x
  3. Step 3: Cross multiply
    8,192x = 11,120 × 11,120
  4. Step 4: Simplify right side
    8,192x = 123,654,400
  5. Step 5: Solve for x
    x = 123,654,400/8,192
  6. Step 6: Final answer
    x = 15,094.53

Related Problems

Find third proportional to 4,096 and 5,560
Half scale
Find third proportional to 16,384 and 22,240
Double scale
Find third proportional to 8,194 and 11,123
Similar ratio
Find third proportional to 12,288 and 16,680
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.