Home / 6,144-11,416

Finding the Third Proportional to 6,144 and 11,416

Calculator

Solution

The third proportional to 6,144 and 11,416 is: 21,211.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144 : 11,416 = 11,416 : x
  2. Step 2: Convert to fraction form
    6,144/11,416 = 11,416/x
  3. Step 3: Cross multiply
    6,144x = 11,416 × 11,416
  4. Step 4: Simplify right side
    6,144x = 130,325,056
  5. Step 5: Solve for x
    x = 130,325,056/6,144
  6. Step 6: Final answer
    x = 21,211.76

Related Problems

Find third proportional to 3,072 and 5,708
Half scale
Find third proportional to 12,288 and 22,832
Double scale
Find third proportional to 6,146 and 11,420
Similar ratio
Find third proportional to 9,216 and 17,124
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.