Home / 8,232-12,405

Finding the Third Proportional to 8,232 and 12,405

Calculator

Solution

The third proportional to 8,232 and 12,405 is: 18,693.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232 : 12,405 = 12,405 : x
  2. Step 2: Convert to fraction form
    8,232/12,405 = 12,405/x
  3. Step 3: Cross multiply
    8,232x = 12,405 × 12,405
  4. Step 4: Simplify right side
    8,232x = 153,884,025
  5. Step 5: Solve for x
    x = 153,884,025/8,232
  6. Step 6: Final answer
    x = 18,693.39

Related Problems

Find third proportional to 4,116 and 6,202.50
Half scale
Find third proportional to 16,464 and 24,810
Double scale
Find third proportional to 8,234 and 12,408
Similar ratio
Find third proportional to 12,348 and 18,607.50
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.