Home / 6,342-12,684

Finding the Third Proportional to 6,342 and 12,684

Calculator

Solution

The third proportional to 6,342 and 12,684 is: 25,368

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342 : 12,684 = 12,684 : x
  2. Step 2: Convert to fraction form
    6,342/12,684 = 12,684/x
  3. Step 3: Cross multiply
    6,342x = 12,684 × 12,684
  4. Step 4: Simplify right side
    6,342x = 160,883,856
  5. Step 5: Solve for x
    x = 160,883,856/6,342
  6. Step 6: Final answer
    x = 25,368

Related Problems

Find third proportional to 3,171 and 6,342
Half scale
Find third proportional to 12,684 and 25,368
Double scale
Find third proportional to 6,344 and 12,688
Similar ratio
Find third proportional to 9,513 and 19,026
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.