Home / 13,684-18,856

Finding the Third Proportional to 13,684 and 18,856

Calculator

Solution

The third proportional to 13,684 and 18,856 is: 25,982.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,684 : 18,856 = 18,856 : x
  2. Step 2: Convert to fraction form
    13,684/18,856 = 18,856/x
  3. Step 3: Cross multiply
    13,684x = 18,856 × 18,856
  4. Step 4: Simplify right side
    13,684x = 355,548,736
  5. Step 5: Solve for x
    x = 355,548,736/13,684
  6. Step 6: Final answer
    x = 25,982.81

Related Problems

Find third proportional to 6,842 and 9,428
Half scale
Find third proportional to 27,368 and 37,712
Double scale
Find third proportional to 13,686 and 18,859
Similar ratio
Find third proportional to 20,526 and 28,284
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.