Home / 13,120-17,024

Finding the Third Proportional to 13,120 and 17,024

Calculator

Solution

The third proportional to 13,120 and 17,024 is: 22,089.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,120 : 17,024 = 17,024 : x
  2. Step 2: Convert to fraction form
    13,120/17,024 = 17,024/x
  3. Step 3: Cross multiply
    13,120x = 17,024 × 17,024
  4. Step 4: Simplify right side
    13,120x = 289,816,576
  5. Step 5: Solve for x
    x = 289,816,576/13,120
  6. Step 6: Final answer
    x = 22,089.68

Related Problems

Find third proportional to 6,560 and 8,512
Half scale
Find third proportional to 26,240 and 34,048
Double scale
Find third proportional to 13,122 and 17,027
Similar ratio
Find third proportional to 19,680 and 25,536
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.