Home / 9,524-13,486

Finding the Third Proportional to 9,524 and 13,486

Calculator

Solution

The third proportional to 9,524 and 13,486 is: 19,096.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,524 : 13,486 = 13,486 : x
  2. Step 2: Convert to fraction form
    9,524/13,486 = 13,486/x
  3. Step 3: Cross multiply
    9,524x = 13,486 × 13,486
  4. Step 4: Simplify right side
    9,524x = 181,872,196
  5. Step 5: Solve for x
    x = 181,872,196/9,524
  6. Step 6: Final answer
    x = 19,096.20

Related Problems

Find third proportional to 4,762 and 6,743
Half scale
Find third proportional to 19,048 and 26,972
Double scale
Find third proportional to 9,526 and 13,489
Similar ratio
Find third proportional to 14,286 and 20,229
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.