Home / 8,054-12,057

Finding the Third Proportional to 8,054 and 12,057

Calculator

Solution

The third proportional to 8,054 and 12,057 is: 18,049.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,054 : 12,057 = 12,057 : x
  2. Step 2: Convert to fraction form
    8,054/12,057 = 12,057/x
  3. Step 3: Cross multiply
    8,054x = 12,057 × 12,057
  4. Step 4: Simplify right side
    8,054x = 145,371,249
  5. Step 5: Solve for x
    x = 145,371,249/8,054
  6. Step 6: Final answer
    x = 18,049.57

Related Problems

Find third proportional to 4,027 and 6,028.50
Half scale
Find third proportional to 16,108 and 24,114
Double scale
Find third proportional to 8,056 and 12,060
Similar ratio
Find third proportional to 12,081 and 18,085.50
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.