Home / 6,384-9,024

Finding the Third Proportional to 6,384 and 9,024

Calculator

Solution

The third proportional to 6,384 and 9,024 is: 12,755.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384 : 9,024 = 9,024 : x
  2. Step 2: Convert to fraction form
    6,384/9,024 = 9,024/x
  3. Step 3: Cross multiply
    6,384x = 9,024 × 9,024
  4. Step 4: Simplify right side
    6,384x = 81,432,576
  5. Step 5: Solve for x
    x = 81,432,576/6,384
  6. Step 6: Final answer
    x = 12,755.73

Related Problems

Find third proportional to 3,192 and 4,512
Half scale
Find third proportional to 12,768 and 18,048
Double scale
Find third proportional to 6,386 and 9,027
Similar ratio
Find third proportional to 9,576 and 13,536
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.