Home / 5,684-13,218

Finding the Third Proportional to 5,684 and 13,218

Calculator

Solution

The third proportional to 5,684 and 13,218 is: 30,738.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684 : 13,218 = 13,218 : x
  2. Step 2: Convert to fraction form
    5,684/13,218 = 13,218/x
  3. Step 3: Cross multiply
    5,684x = 13,218 × 13,218
  4. Step 4: Simplify right side
    5,684x = 174,715,524
  5. Step 5: Solve for x
    x = 174,715,524/5,684
  6. Step 6: Final answer
    x = 30,738.13

Related Problems

Find third proportional to 2,842 and 6,609
Half scale
Find third proportional to 11,368 and 26,436
Double scale
Find third proportional to 5,686 and 13,223
Similar ratio
Find third proportional to 8,526 and 19,827
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.