Home / 5,000-7,400

Finding the Third Proportional to 5,000 and 7,400

Calculator

Solution

The third proportional to 5,000 and 7,400 is: 10,952

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,000 : 7,400 = 7,400 : x
  2. Step 2: Convert to fraction form
    5,000/7,400 = 7,400/x
  3. Step 3: Cross multiply
    5,000x = 7,400 × 7,400
  4. Step 4: Simplify right side
    5,000x = 54,760,000
  5. Step 5: Solve for x
    x = 54,760,000/5,000
  6. Step 6: Final answer
    x = 10,952

Related Problems

Find third proportional to 2,500 and 3,700
Half scale
Find third proportional to 10,000 and 14,800
Double scale
Find third proportional to 5,002 and 7,403
Similar ratio
Find third proportional to 7,500 and 11,100
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.