Home / 13,650-19,311

Finding the Third Proportional to 13,650 and 19,311

Calculator

Solution

The third proportional to 13,650 and 19,311 is: 27,319.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,650 : 19,311 = 19,311 : x
  2. Step 2: Convert to fraction form
    13,650/19,311 = 19,311/x
  3. Step 3: Cross multiply
    13,650x = 19,311 × 19,311
  4. Step 4: Simplify right side
    13,650x = 372,914,721
  5. Step 5: Solve for x
    x = 372,914,721/13,650
  6. Step 6: Final answer
    x = 27,319.76

Related Problems

Find third proportional to 6,825 and 9,655.50
Half scale
Find third proportional to 27,300 and 38,622
Double scale
Find third proportional to 13,652 and 19,314
Similar ratio
Find third proportional to 20,475 and 28,966.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.