Home / 6,814-9,644

Finding the Third Proportional to 6,814 and 9,644

Calculator

Solution

The third proportional to 6,814 and 9,644 is: 13,649.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814 : 9,644 = 9,644 : x
  2. Step 2: Convert to fraction form
    6,814/9,644 = 9,644/x
  3. Step 3: Cross multiply
    6,814x = 9,644 × 9,644
  4. Step 4: Simplify right side
    6,814x = 93,006,736
  5. Step 5: Solve for x
    x = 93,006,736/6,814
  6. Step 6: Final answer
    x = 13,649.36

Related Problems

Find third proportional to 3,407 and 4,822
Half scale
Find third proportional to 13,628 and 19,288
Double scale
Find third proportional to 6,816 and 9,647
Similar ratio
Find third proportional to 10,221 and 14,466
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.