Home / 13,980-20,394

Finding the Third Proportional to 13,980 and 20,394

Calculator

Solution

The third proportional to 13,980 and 20,394 is: 29,750.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,980 : 20,394 = 20,394 : x
  2. Step 2: Convert to fraction form
    13,980/20,394 = 20,394/x
  3. Step 3: Cross multiply
    13,980x = 20,394 × 20,394
  4. Step 4: Simplify right side
    13,980x = 415,915,236
  5. Step 5: Solve for x
    x = 415,915,236/13,980
  6. Step 6: Final answer
    x = 29,750.73

Related Problems

Find third proportional to 6,990 and 10,197
Half scale
Find third proportional to 27,960 and 40,788
Double scale
Find third proportional to 13,982 and 20,397
Similar ratio
Find third proportional to 20,970 and 30,591
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.