Home / 13,524-19,772

Finding the Third Proportional to 13,524 and 19,772

Calculator

Solution

The third proportional to 13,524 and 19,772 is: 28,906.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,524 : 19,772 = 19,772 : x
  2. Step 2: Convert to fraction form
    13,524/19,772 = 19,772/x
  3. Step 3: Cross multiply
    13,524x = 19,772 × 19,772
  4. Step 4: Simplify right side
    13,524x = 390,931,984
  5. Step 5: Solve for x
    x = 390,931,984/13,524
  6. Step 6: Final answer
    x = 28,906.54

Related Problems

Find third proportional to 6,762 and 9,886
Half scale
Find third proportional to 27,048 and 39,544
Double scale
Find third proportional to 13,526 and 19,775
Similar ratio
Find third proportional to 20,286 and 29,658
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.