Home / 6,384-13,758

Finding the Third Proportional to 6,384 and 13,758

Calculator

Solution

The third proportional to 6,384 and 13,758 is: 29,649.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384 : 13,758 = 13,758 : x
  2. Step 2: Convert to fraction form
    6,384/13,758 = 13,758/x
  3. Step 3: Cross multiply
    6,384x = 13,758 × 13,758
  4. Step 4: Simplify right side
    6,384x = 189,282,564
  5. Step 5: Solve for x
    x = 189,282,564/6,384
  6. Step 6: Final answer
    x = 29,649.52

Related Problems

Find third proportional to 3,192 and 6,879
Half scale
Find third proportional to 12,768 and 27,516
Double scale
Find third proportional to 6,386 and 13,762
Similar ratio
Find third proportional to 9,576 and 20,637
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.