Home / 6,342-9,347

Finding the Third Proportional to 6,342 and 9,347

Calculator

Solution

The third proportional to 6,342 and 9,347 is: 13,775.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342 : 9,347 = 9,347 : x
  2. Step 2: Convert to fraction form
    6,342/9,347 = 9,347/x
  3. Step 3: Cross multiply
    6,342x = 9,347 × 9,347
  4. Step 4: Simplify right side
    6,342x = 87,366,409
  5. Step 5: Solve for x
    x = 87,366,409/6,342
  6. Step 6: Final answer
    x = 13,775.85

Related Problems

Find third proportional to 3,171 and 4,673.50
Half scale
Find third proportional to 12,684 and 18,694
Double scale
Find third proportional to 6,344 and 9,350
Similar ratio
Find third proportional to 9,513 and 14,020.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.