Home / 21,986-32,731

Finding the Third Proportional to 21,986 and 32,731

Calculator

Solution

The third proportional to 21,986 and 32,731 is: 48,727.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,986 : 32,731 = 32,731 : x
  2. Step 2: Convert to fraction form
    21,986/32,731 = 32,731/x
  3. Step 3: Cross multiply
    21,986x = 32,731 × 32,731
  4. Step 4: Simplify right side
    21,986x = 1,071,318,361
  5. Step 5: Solve for x
    x = 1,071,318,361/21,986
  6. Step 6: Final answer
    x = 48,727.30

Related Problems

Find third proportional to 10,993 and 16,365.50
Half scale
Find third proportional to 43,972 and 65,462
Double scale
Find third proportional to 21,988 and 32,734
Similar ratio
Find third proportional to 32,979 and 49,096.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.