Home / 8,194-12,301

Finding the Third Proportional to 8,194 and 12,301

Calculator

Solution

The third proportional to 8,194 and 12,301 is: 18,466.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194 : 12,301 = 12,301 : x
  2. Step 2: Convert to fraction form
    8,194/12,301 = 12,301/x
  3. Step 3: Cross multiply
    8,194x = 12,301 × 12,301
  4. Step 4: Simplify right side
    8,194x = 151,314,601
  5. Step 5: Solve for x
    x = 151,314,601/8,194
  6. Step 6: Final answer
    x = 18,466.51

Related Problems

Find third proportional to 4,097 and 6,150.50
Half scale
Find third proportional to 16,388 and 24,602
Double scale
Find third proportional to 8,196 and 12,304
Similar ratio
Find third proportional to 12,291 and 18,451.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.