Home / 7,000-12,960

Finding the Third Proportional to 7,000 and 12,960

Calculator

Solution

The third proportional to 7,000 and 12,960 is: 23,994.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,000 : 12,960 = 12,960 : x
  2. Step 2: Convert to fraction form
    7,000/12,960 = 12,960/x
  3. Step 3: Cross multiply
    7,000x = 12,960 × 12,960
  4. Step 4: Simplify right side
    7,000x = 167,961,600
  5. Step 5: Solve for x
    x = 167,961,600/7,000
  6. Step 6: Final answer
    x = 23,994.51

Related Problems

Find third proportional to 3,500 and 6,480
Half scale
Find third proportional to 14,000 and 25,920
Double scale
Find third proportional to 7,002 and 12,964
Similar ratio
Find third proportional to 10,500 and 19,440
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.