Home / 9,825-15,024

Finding the Third Proportional to 9,825 and 15,024

Calculator

Solution

The third proportional to 9,825 and 15,024 is: 22,974.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825 : 15,024 = 15,024 : x
  2. Step 2: Convert to fraction form
    9,825/15,024 = 15,024/x
  3. Step 3: Cross multiply
    9,825x = 15,024 × 15,024
  4. Step 4: Simplify right side
    9,825x = 225,720,576
  5. Step 5: Solve for x
    x = 225,720,576/9,825
  6. Step 6: Final answer
    x = 22,974.10

Related Problems

Find third proportional to 4,912.50 and 7,512
Half scale
Find third proportional to 19,650 and 30,048
Double scale
Find third proportional to 9,827 and 15,027
Similar ratio
Find third proportional to 14,737.50 and 22,536
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.