Home / 9,988-11,824

Finding the Third Proportional to 9,988 and 11,824

Calculator

Solution

The third proportional to 9,988 and 11,824 is: 13,997.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,988 : 11,824 = 11,824 : x
  2. Step 2: Convert to fraction form
    9,988/11,824 = 11,824/x
  3. Step 3: Cross multiply
    9,988x = 11,824 × 11,824
  4. Step 4: Simplify right side
    9,988x = 139,806,976
  5. Step 5: Solve for x
    x = 139,806,976/9,988
  6. Step 6: Final answer
    x = 13,997.49

Related Problems

Find third proportional to 4,994 and 5,912
Half scale
Find third proportional to 19,976 and 23,648
Double scale
Find third proportional to 9,990 and 11,826
Similar ratio
Find third proportional to 14,982 and 17,736
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.