Home / 16,048-33,119

Finding the Third Proportional to 16,048 and 33,119

Calculator

Solution

The third proportional to 16,048 and 33,119 is: 68,349.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,048 : 33,119 = 33,119 : x
  2. Step 2: Convert to fraction form
    16,048/33,119 = 33,119/x
  3. Step 3: Cross multiply
    16,048x = 33,119 × 33,119
  4. Step 4: Simplify right side
    16,048x = 1,096,868,161
  5. Step 5: Solve for x
    x = 1,096,868,161/16,048
  6. Step 6: Final answer
    x = 68,349.21

Related Problems

Find third proportional to 8,024 and 16,559.50
Half scale
Find third proportional to 32,096 and 66,238
Double scale
Find third proportional to 16,050 and 33,123
Similar ratio
Find third proportional to 24,072 and 49,678.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.