Home / 9,084-13,586

Finding the Third Proportional to 9,084 and 13,586

Calculator

Solution

The third proportional to 9,084 and 13,586 is: 20,319.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,084 : 13,586 = 13,586 : x
  2. Step 2: Convert to fraction form
    9,084/13,586 = 13,586/x
  3. Step 3: Cross multiply
    9,084x = 13,586 × 13,586
  4. Step 4: Simplify right side
    9,084x = 184,579,396
  5. Step 5: Solve for x
    x = 184,579,396/9,084
  6. Step 6: Final answer
    x = 20,319.18

Related Problems

Find third proportional to 4,542 and 6,793
Half scale
Find third proportional to 18,168 and 27,172
Double scale
Find third proportional to 9,086 and 13,589
Similar ratio
Find third proportional to 13,626 and 20,379
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.