Home / 3,984-9,856

Finding the Third Proportional to 3,984 and 9,856

Calculator

Solution

The third proportional to 3,984 and 9,856 is: 24,382.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984 : 9,856 = 9,856 : x
  2. Step 2: Convert to fraction form
    3,984/9,856 = 9,856/x
  3. Step 3: Cross multiply
    3,984x = 9,856 × 9,856
  4. Step 4: Simplify right side
    3,984x = 97,140,736
  5. Step 5: Solve for x
    x = 97,140,736/3,984
  6. Step 6: Final answer
    x = 24,382.71

Related Problems

Find third proportional to 1,992 and 4,928
Half scale
Find third proportional to 7,968 and 19,712
Double scale
Find third proportional to 3,986 and 9,861
Similar ratio
Find third proportional to 5,976 and 14,784
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.