Home / 6,322-6,834

Finding the Third Proportional to 6,322 and 6,834

Calculator

Solution

The third proportional to 6,322 and 6,834 is: 7,387.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322 : 6,834 = 6,834 : x
  2. Step 2: Convert to fraction form
    6,322/6,834 = 6,834/x
  3. Step 3: Cross multiply
    6,322x = 6,834 × 6,834
  4. Step 4: Simplify right side
    6,322x = 46,703,556
  5. Step 5: Solve for x
    x = 46,703,556/6,322
  6. Step 6: Final answer
    x = 7,387.47

Related Problems

Find third proportional to 3,161 and 3,417
Half scale
Find third proportional to 12,644 and 13,668
Double scale
Find third proportional to 6,324 and 6,836
Similar ratio
Find third proportional to 9,483 and 10,251
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.