Home / 3,984-8,460

Finding the Third Proportional to 3,984 and 8,460

Calculator

Solution

The third proportional to 3,984 and 8,460 is: 17,964.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984 : 8,460 = 8,460 : x
  2. Step 2: Convert to fraction form
    3,984/8,460 = 8,460/x
  3. Step 3: Cross multiply
    3,984x = 8,460 × 8,460
  4. Step 4: Simplify right side
    3,984x = 71,571,600
  5. Step 5: Solve for x
    x = 71,571,600/3,984
  6. Step 6: Final answer
    x = 17,964.76

Related Problems

Find third proportional to 1,992 and 4,230
Half scale
Find third proportional to 7,968 and 16,920
Double scale
Find third proportional to 3,986 and 8,464
Similar ratio
Find third proportional to 5,976 and 12,690
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.