Home / 13,675-20,514

Finding the Third Proportional to 13,675 and 20,514

Calculator

Solution

The third proportional to 13,675 and 20,514 is: 30,773.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,675 : 20,514 = 20,514 : x
  2. Step 2: Convert to fraction form
    13,675/20,514 = 20,514/x
  3. Step 3: Cross multiply
    13,675x = 20,514 × 20,514
  4. Step 4: Simplify right side
    13,675x = 420,824,196
  5. Step 5: Solve for x
    x = 420,824,196/13,675
  6. Step 6: Final answer
    x = 30,773.25

Related Problems

Find third proportional to 6,837.50 and 10,257
Half scale
Find third proportional to 27,350 and 41,028
Double scale
Find third proportional to 13,677 and 20,517
Similar ratio
Find third proportional to 20,512.50 and 30,771
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.