Home / 13,828-16,240

Finding the Third Proportional to 13,828 and 16,240

Calculator

Solution

The third proportional to 13,828 and 16,240 is: 19,072.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,828 : 16,240 = 16,240 : x
  2. Step 2: Convert to fraction form
    13,828/16,240 = 16,240/x
  3. Step 3: Cross multiply
    13,828x = 16,240 × 16,240
  4. Step 4: Simplify right side
    13,828x = 263,737,600
  5. Step 5: Solve for x
    x = 263,737,600/13,828
  6. Step 6: Final answer
    x = 19,072.72

Related Problems

Find third proportional to 6,914 and 8,120
Half scale
Find third proportional to 27,656 and 32,480
Double scale
Find third proportional to 13,830 and 16,242
Similar ratio
Find third proportional to 20,742 and 24,360
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.