Home / 9,928-21,824

Finding the Third Proportional to 9,928 and 21,824

Calculator

Solution

The third proportional to 9,928 and 21,824 is: 47,974.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,928 : 21,824 = 21,824 : x
  2. Step 2: Convert to fraction form
    9,928/21,824 = 21,824/x
  3. Step 3: Cross multiply
    9,928x = 21,824 × 21,824
  4. Step 4: Simplify right side
    9,928x = 476,286,976
  5. Step 5: Solve for x
    x = 476,286,976/9,928
  6. Step 6: Final answer
    x = 47,974.11

Related Problems

Find third proportional to 4,964 and 10,912
Half scale
Find third proportional to 19,856 and 43,648
Double scale
Find third proportional to 9,930 and 21,828
Similar ratio
Find third proportional to 14,892 and 32,736
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.