Home / 5,780-12,286

Finding the Third Proportional to 5,780 and 12,286

Calculator

Solution

The third proportional to 5,780 and 12,286 is: 26,115.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780 : 12,286 = 12,286 : x
  2. Step 2: Convert to fraction form
    5,780/12,286 = 12,286/x
  3. Step 3: Cross multiply
    5,780x = 12,286 × 12,286
  4. Step 4: Simplify right side
    5,780x = 150,945,796
  5. Step 5: Solve for x
    x = 150,945,796/5,780
  6. Step 6: Final answer
    x = 26,115.19

Related Problems

Find third proportional to 2,890 and 6,143
Half scale
Find third proportional to 11,560 and 24,572
Double scale
Find third proportional to 5,782 and 12,290
Similar ratio
Find third proportional to 8,670 and 18,429
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.