Home / 6,400-7,456

Finding the Third Proportional to 6,400 and 7,456

Calculator

Solution

The third proportional to 6,400 and 7,456 is: 8,686.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400 : 7,456 = 7,456 : x
  2. Step 2: Convert to fraction form
    6,400/7,456 = 7,456/x
  3. Step 3: Cross multiply
    6,400x = 7,456 × 7,456
  4. Step 4: Simplify right side
    6,400x = 55,591,936
  5. Step 5: Solve for x
    x = 55,591,936/6,400
  6. Step 6: Final answer
    x = 8,686.24

Related Problems

Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.