Home / 8,084-12,704

Finding the Third Proportional to 8,084 and 12,704

Calculator

Solution

The third proportional to 8,084 and 12,704 is: 19,964.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,084 : 12,704 = 12,704 : x
  2. Step 2: Convert to fraction form
    8,084/12,704 = 12,704/x
  3. Step 3: Cross multiply
    8,084x = 12,704 × 12,704
  4. Step 4: Simplify right side
    8,084x = 161,391,616
  5. Step 5: Solve for x
    x = 161,391,616/8,084
  6. Step 6: Final answer
    x = 19,964.33

Related Problems

Find third proportional to 4,042 and 6,352
Half scale
Find third proportional to 16,168 and 25,408
Double scale
Find third proportional to 8,086 and 12,707
Similar ratio
Find third proportional to 12,126 and 19,056
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.