Home / 13,984-19,712

Finding the Third Proportional to 13,984 and 19,712

Calculator

Solution

The third proportional to 13,984 and 19,712 is: 27,786.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,984 : 19,712 = 19,712 : x
  2. Step 2: Convert to fraction form
    13,984/19,712 = 19,712/x
  3. Step 3: Cross multiply
    13,984x = 19,712 × 19,712
  4. Step 4: Simplify right side
    13,984x = 388,562,944
  5. Step 5: Solve for x
    x = 388,562,944/13,984
  6. Step 6: Final answer
    x = 27,786.25

Related Problems

Find third proportional to 6,992 and 9,856
Half scale
Find third proportional to 27,968 and 39,424
Double scale
Find third proportional to 13,986 and 19,715
Similar ratio
Find third proportional to 20,976 and 29,568
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.