Home / 19,986-30,031

Finding the Third Proportional to 19,986 and 30,031

Calculator

Solution

The third proportional to 19,986 and 30,031 is: 45,124.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,986 : 30,031 = 30,031 : x
  2. Step 2: Convert to fraction form
    19,986/30,031 = 30,031/x
  3. Step 3: Cross multiply
    19,986x = 30,031 × 30,031
  4. Step 4: Simplify right side
    19,986x = 901,860,961
  5. Step 5: Solve for x
    x = 901,860,961/19,986
  6. Step 6: Final answer
    x = 45,124.64

Related Problems

Find third proportional to 9,993 and 15,015.50
Half scale
Find third proportional to 39,972 and 60,062
Double scale
Find third proportional to 19,988 and 30,034
Similar ratio
Find third proportional to 29,979 and 45,046.50
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.