Home / 12,578-19,909

Finding the Third Proportional to 12,578 and 19,909

Calculator

Solution

The third proportional to 12,578 and 19,909 is: 31,512.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,578 : 19,909 = 19,909 : x
  2. Step 2: Convert to fraction form
    12,578/19,909 = 19,909/x
  3. Step 3: Cross multiply
    12,578x = 19,909 × 19,909
  4. Step 4: Simplify right side
    12,578x = 396,368,281
  5. Step 5: Solve for x
    x = 396,368,281/12,578
  6. Step 6: Final answer
    x = 31,512.82

Related Problems

Find third proportional to 6,289 and 9,954.50
Half scale
Find third proportional to 25,156 and 39,818
Double scale
Find third proportional to 12,580 and 19,912
Similar ratio
Find third proportional to 18,867 and 29,863.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.