Home / 6,977-8,201

Finding the Third Proportional to 6,977 and 8,201

Calculator

Solution

The third proportional to 6,977 and 8,201 is: 9,639.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977 : 8,201 = 8,201 : x
  2. Step 2: Convert to fraction form
    6,977/8,201 = 8,201/x
  3. Step 3: Cross multiply
    6,977x = 8,201 × 8,201
  4. Step 4: Simplify right side
    6,977x = 67,256,401
  5. Step 5: Solve for x
    x = 67,256,401/6,977
  6. Step 6: Final answer
    x = 9,639.73

Related Problems

Find third proportional to 3,488.50 and 4,100.50
Half scale
Find third proportional to 13,954 and 16,402
Double scale
Find third proportional to 6,979 and 8,203
Similar ratio
Find third proportional to 10,465.50 and 12,301.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.