Home / 6,048-7,824

Finding the Third Proportional to 6,048 and 7,824

Calculator

Solution

The third proportional to 6,048 and 7,824 is: 10,121.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,048 : 7,824 = 7,824 : x
  2. Step 2: Convert to fraction form
    6,048/7,824 = 7,824/x
  3. Step 3: Cross multiply
    6,048x = 7,824 × 7,824
  4. Step 4: Simplify right side
    6,048x = 61,214,976
  5. Step 5: Solve for x
    x = 61,214,976/6,048
  6. Step 6: Final answer
    x = 10,121.52

Related Problems

Find third proportional to 3,024 and 3,912
Half scale
Find third proportional to 12,096 and 15,648
Double scale
Find third proportional to 6,050 and 7,827
Similar ratio
Find third proportional to 9,072 and 11,736
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.