Home / 9,920-11,984

Finding the Third Proportional to 9,920 and 11,984

Calculator

Solution

The third proportional to 9,920 and 11,984 is: 14,477.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920 : 11,984 = 11,984 : x
  2. Step 2: Convert to fraction form
    9,920/11,984 = 11,984/x
  3. Step 3: Cross multiply
    9,920x = 11,984 × 11,984
  4. Step 4: Simplify right side
    9,920x = 143,616,256
  5. Step 5: Solve for x
    x = 143,616,256/9,920
  6. Step 6: Final answer
    x = 14,477.45

Related Problems

Find third proportional to 4,960 and 5,992
Half scale
Find third proportional to 19,840 and 23,968
Double scale
Find third proportional to 9,922 and 11,986
Similar ratio
Find third proportional to 14,880 and 17,976
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.