Home / 8,170-12,347

Finding the Third Proportional to 8,170 and 12,347

Calculator

Solution

The third proportional to 8,170 and 12,347 is: 18,659.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,170 : 12,347 = 12,347 : x
  2. Step 2: Convert to fraction form
    8,170/12,347 = 12,347/x
  3. Step 3: Cross multiply
    8,170x = 12,347 × 12,347
  4. Step 4: Simplify right side
    8,170x = 152,448,409
  5. Step 5: Solve for x
    x = 152,448,409/8,170
  6. Step 6: Final answer
    x = 18,659.54

Related Problems

Find third proportional to 4,085 and 6,173.50
Half scale
Find third proportional to 16,340 and 24,694
Double scale
Find third proportional to 8,172 and 12,350
Similar ratio
Find third proportional to 12,255 and 18,520.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.