Home / 7,860-13,980

Finding the Third Proportional to 7,860 and 13,980

Calculator

Solution

The third proportional to 7,860 and 13,980 is: 24,865.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,860 : 13,980 = 13,980 : x
  2. Step 2: Convert to fraction form
    7,860/13,980 = 13,980/x
  3. Step 3: Cross multiply
    7,860x = 13,980 × 13,980
  4. Step 4: Simplify right side
    7,860x = 195,440,400
  5. Step 5: Solve for x
    x = 195,440,400/7,860
  6. Step 6: Final answer
    x = 24,865.19

Related Problems

Find third proportional to 3,930 and 6,990
Half scale
Find third proportional to 15,720 and 27,960
Double scale
Find third proportional to 7,862 and 13,984
Similar ratio
Find third proportional to 11,790 and 20,970
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.