Home / 6,408-13,840

Finding the Third Proportional to 6,408 and 13,840

Calculator

Solution

The third proportional to 6,408 and 13,840 is: 29,891.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408 : 13,840 = 13,840 : x
  2. Step 2: Convert to fraction form
    6,408/13,840 = 13,840/x
  3. Step 3: Cross multiply
    6,408x = 13,840 × 13,840
  4. Step 4: Simplify right side
    6,408x = 191,545,600
  5. Step 5: Solve for x
    x = 191,545,600/6,408
  6. Step 6: Final answer
    x = 29,891.64

Related Problems

Find third proportional to 3,204 and 6,920
Half scale
Find third proportional to 12,816 and 27,680
Double scale
Find third proportional to 6,410 and 13,844
Similar ratio
Find third proportional to 9,612 and 20,760
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.