Home / 5,984-13,944

Finding the Third Proportional to 5,984 and 13,944

Calculator

Solution

The third proportional to 5,984 and 13,944 is: 32,492.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984 : 13,944 = 13,944 : x
  2. Step 2: Convert to fraction form
    5,984/13,944 = 13,944/x
  3. Step 3: Cross multiply
    5,984x = 13,944 × 13,944
  4. Step 4: Simplify right side
    5,984x = 194,435,136
  5. Step 5: Solve for x
    x = 194,435,136/5,984
  6. Step 6: Final answer
    x = 32,492.50

Related Problems

Find third proportional to 2,992 and 6,972
Half scale
Find third proportional to 11,968 and 27,888
Double scale
Find third proportional to 5,986 and 13,949
Similar ratio
Find third proportional to 8,976 and 20,916
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.