Home / 13,407-19,882

Finding the Third Proportional to 13,407 and 19,882

Calculator

Solution

The third proportional to 13,407 and 19,882 is: 29,484.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,407 : 19,882 = 19,882 : x
  2. Step 2: Convert to fraction form
    13,407/19,882 = 19,882/x
  3. Step 3: Cross multiply
    13,407x = 19,882 × 19,882
  4. Step 4: Simplify right side
    13,407x = 395,293,924
  5. Step 5: Solve for x
    x = 395,293,924/13,407
  6. Step 6: Final answer
    x = 29,484.14

Related Problems

Find third proportional to 6,703.50 and 9,941
Half scale
Find third proportional to 26,814 and 39,764
Double scale
Find third proportional to 13,409 and 19,885
Similar ratio
Find third proportional to 20,110.50 and 29,823
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.