Home / 5,724-6,324

Finding the Third Proportional to 5,724 and 6,324

Calculator

Solution

The third proportional to 5,724 and 6,324 is: 6,986.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724 : 6,324 = 6,324 : x
  2. Step 2: Convert to fraction form
    5,724/6,324 = 6,324/x
  3. Step 3: Cross multiply
    5,724x = 6,324 × 6,324
  4. Step 4: Simplify right side
    5,724x = 39,992,976
  5. Step 5: Solve for x
    x = 39,992,976/5,724
  6. Step 6: Final answer
    x = 6,986.89

Related Problems

Find third proportional to 2,862 and 3,162
Half scale
Find third proportional to 11,448 and 12,648
Double scale
Find third proportional to 5,726 and 6,326
Similar ratio
Find third proportional to 8,586 and 9,486
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.