Home / 6,578-7,234

Finding the Third Proportional to 6,578 and 7,234

Calculator

Solution

The third proportional to 6,578 and 7,234 is: 7,955.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578 : 7,234 = 7,234 : x
  2. Step 2: Convert to fraction form
    6,578/7,234 = 7,234/x
  3. Step 3: Cross multiply
    6,578x = 7,234 × 7,234
  4. Step 4: Simplify right side
    6,578x = 52,330,756
  5. Step 5: Solve for x
    x = 52,330,756/6,578
  6. Step 6: Final answer
    x = 7,955.42

Related Problems

Find third proportional to 3,289 and 3,617
Half scale
Find third proportional to 13,156 and 14,468
Double scale
Find third proportional to 6,580 and 7,236
Similar ratio
Find third proportional to 9,867 and 10,851
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.