Home / 8,344-12,784

Finding the Third Proportional to 8,344 and 12,784

Calculator

Solution

The third proportional to 8,344 and 12,784 is: 19,586.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,344 : 12,784 = 12,784 : x
  2. Step 2: Convert to fraction form
    8,344/12,784 = 12,784/x
  3. Step 3: Cross multiply
    8,344x = 12,784 × 12,784
  4. Step 4: Simplify right side
    8,344x = 163,430,656
  5. Step 5: Solve for x
    x = 163,430,656/8,344
  6. Step 6: Final answer
    x = 19,586.61

Related Problems

Find third proportional to 4,172 and 6,392
Half scale
Find third proportional to 16,688 and 25,568
Double scale
Find third proportional to 8,346 and 12,787
Similar ratio
Find third proportional to 12,516 and 19,176
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.