Home / 8,145-12,309

Finding the Third Proportional to 8,145 and 12,309

Calculator

Solution

The third proportional to 8,145 and 12,309 is: 18,601.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,145 : 12,309 = 12,309 : x
  2. Step 2: Convert to fraction form
    8,145/12,309 = 12,309/x
  3. Step 3: Cross multiply
    8,145x = 12,309 × 12,309
  4. Step 4: Simplify right side
    8,145x = 151,511,481
  5. Step 5: Solve for x
    x = 151,511,481/8,145
  6. Step 6: Final answer
    x = 18,601.78

Related Problems

Find third proportional to 4,072.50 and 6,154.50
Half scale
Find third proportional to 16,290 and 24,618
Double scale
Find third proportional to 8,147 and 12,312
Similar ratio
Find third proportional to 12,217.50 and 18,463.50
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.