Home / 13,728-19,416

Finding the Third Proportional to 13,728 and 19,416

Calculator

Solution

The third proportional to 13,728 and 19,416 is: 27,460.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,728 : 19,416 = 19,416 : x
  2. Step 2: Convert to fraction form
    13,728/19,416 = 19,416/x
  3. Step 3: Cross multiply
    13,728x = 19,416 × 19,416
  4. Step 4: Simplify right side
    13,728x = 376,981,056
  5. Step 5: Solve for x
    x = 376,981,056/13,728
  6. Step 6: Final answer
    x = 27,460.74

Related Problems

Find third proportional to 6,864 and 9,708
Half scale
Find third proportional to 27,456 and 38,832
Double scale
Find third proportional to 13,730 and 19,419
Similar ratio
Find third proportional to 20,592 and 29,124
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.