Home / 8,424-19,956

Finding the Third Proportional to 8,424 and 19,956

Calculator

Solution

The third proportional to 8,424 and 19,956 is: 47,274.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,424 : 19,956 = 19,956 : x
  2. Step 2: Convert to fraction form
    8,424/19,956 = 19,956/x
  3. Step 3: Cross multiply
    8,424x = 19,956 × 19,956
  4. Step 4: Simplify right side
    8,424x = 398,241,936
  5. Step 5: Solve for x
    x = 398,241,936/8,424
  6. Step 6: Final answer
    x = 47,274.68

Related Problems

Find third proportional to 4,212 and 9,978
Half scale
Find third proportional to 16,848 and 39,912
Double scale
Find third proportional to 8,426 and 19,961
Similar ratio
Find third proportional to 12,636 and 29,934
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.