Home / 30,507-65,874

Finding the Third Proportional to 30,507 and 65,874

Calculator

Solution

The third proportional to 30,507 and 65,874 is: 142,242.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,507 : 65,874 = 65,874 : x
  2. Step 2: Convert to fraction form
    30,507/65,874 = 65,874/x
  3. Step 3: Cross multiply
    30,507x = 65,874 × 65,874
  4. Step 4: Simplify right side
    30,507x = 4,339,383,876
  5. Step 5: Solve for x
    x = 4,339,383,876/30,507
  6. Step 6: Final answer
    x = 142,242.24

Related Problems

Find third proportional to 15,253.50 and 32,937
Half scale
Find third proportional to 61,014 and 131,748
Double scale
Find third proportional to 30,509 and 65,878
Similar ratio
Find third proportional to 45,760.50 and 98,811
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.