Home / 8,170-12,984

Finding the Third Proportional to 8,170 and 12,984

Calculator

Solution

The third proportional to 8,170 and 12,984 is: 20,634.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,170 : 12,984 = 12,984 : x
  2. Step 2: Convert to fraction form
    8,170/12,984 = 12,984/x
  3. Step 3: Cross multiply
    8,170x = 12,984 × 12,984
  4. Step 4: Simplify right side
    8,170x = 168,584,256
  5. Step 5: Solve for x
    x = 168,584,256/8,170
  6. Step 6: Final answer
    x = 20,634.55

Related Problems

Find third proportional to 4,085 and 6,492
Half scale
Find third proportional to 16,340 and 25,968
Double scale
Find third proportional to 8,172 and 12,987
Similar ratio
Find third proportional to 12,255 and 19,476
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.