Home / 13,684-19,486

Finding the Third Proportional to 13,684 and 19,486

Calculator

Solution

The third proportional to 13,684 and 19,486 is: 27,748.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,684 : 19,486 = 19,486 : x
  2. Step 2: Convert to fraction form
    13,684/19,486 = 19,486/x
  3. Step 3: Cross multiply
    13,684x = 19,486 × 19,486
  4. Step 4: Simplify right side
    13,684x = 379,704,196
  5. Step 5: Solve for x
    x = 379,704,196/13,684
  6. Step 6: Final answer
    x = 27,748.04

Related Problems

Find third proportional to 6,842 and 9,743
Half scale
Find third proportional to 27,368 and 38,972
Double scale
Find third proportional to 13,686 and 19,489
Similar ratio
Find third proportional to 20,526 and 29,229
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.