Home / 21,012-32,067

Finding the Third Proportional to 21,012 and 32,067

Calculator

Solution

The third proportional to 21,012 and 32,067 is: 48,938.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,012 : 32,067 = 32,067 : x
  2. Step 2: Convert to fraction form
    21,012/32,067 = 32,067/x
  3. Step 3: Cross multiply
    21,012x = 32,067 × 32,067
  4. Step 4: Simplify right side
    21,012x = 1,028,292,489
  5. Step 5: Solve for x
    x = 1,028,292,489/21,012
  6. Step 6: Final answer
    x = 48,938.34

Related Problems

Find third proportional to 10,506 and 16,033.50
Half scale
Find third proportional to 42,024 and 64,134
Double scale
Find third proportional to 21,014 and 32,070
Similar ratio
Find third proportional to 31,518 and 48,100.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.