Home / 7,884-12,370

Finding the Third Proportional to 7,884 and 12,370

Calculator

Solution

The third proportional to 7,884 and 12,370 is: 19,408.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884 : 12,370 = 12,370 : x
  2. Step 2: Convert to fraction form
    7,884/12,370 = 12,370/x
  3. Step 3: Cross multiply
    7,884x = 12,370 × 12,370
  4. Step 4: Simplify right side
    7,884x = 153,016,900
  5. Step 5: Solve for x
    x = 153,016,900/7,884
  6. Step 6: Final answer
    x = 19,408.54

Related Problems

Find third proportional to 3,942 and 6,185
Half scale
Find third proportional to 15,768 and 24,740
Double scale
Find third proportional to 7,886 and 12,373
Similar ratio
Find third proportional to 11,826 and 18,555
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.