Home / 12,077-15,919

Finding the Third Proportional to 12,077 and 15,919

Calculator

Solution

The third proportional to 12,077 and 15,919 is: 20,983.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,077 : 15,919 = 15,919 : x
  2. Step 2: Convert to fraction form
    12,077/15,919 = 15,919/x
  3. Step 3: Cross multiply
    12,077x = 15,919 × 15,919
  4. Step 4: Simplify right side
    12,077x = 253,414,561
  5. Step 5: Solve for x
    x = 253,414,561/12,077
  6. Step 6: Final answer
    x = 20,983.24

Related Problems

Find third proportional to 6,038.50 and 7,959.50
Half scale
Find third proportional to 24,154 and 31,838
Double scale
Find third proportional to 12,079 and 15,922
Similar ratio
Find third proportional to 18,115.50 and 23,878.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.