Home / 13,768-19,412

Finding the Third Proportional to 13,768 and 19,412

Calculator

Solution

The third proportional to 13,768 and 19,412 is: 27,369.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,768 : 19,412 = 19,412 : x
  2. Step 2: Convert to fraction form
    13,768/19,412 = 19,412/x
  3. Step 3: Cross multiply
    13,768x = 19,412 × 19,412
  4. Step 4: Simplify right side
    13,768x = 376,825,744
  5. Step 5: Solve for x
    x = 376,825,744/13,768
  6. Step 6: Final answer
    x = 27,369.68

Related Problems

Find third proportional to 6,884 and 9,706
Half scale
Find third proportional to 27,536 and 38,824
Double scale
Find third proportional to 13,770 and 19,415
Similar ratio
Find third proportional to 20,652 and 29,118
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.