Home / 6,584-14,401

Finding the Third Proportional to 6,584 and 14,401

Calculator

Solution

The third proportional to 6,584 and 14,401 is: 31,498.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584 : 14,401 = 14,401 : x
  2. Step 2: Convert to fraction form
    6,584/14,401 = 14,401/x
  3. Step 3: Cross multiply
    6,584x = 14,401 × 14,401
  4. Step 4: Simplify right side
    6,584x = 207,388,801
  5. Step 5: Solve for x
    x = 207,388,801/6,584
  6. Step 6: Final answer
    x = 31,498.91

Related Problems

Find third proportional to 3,292 and 7,200.50
Half scale
Find third proportional to 13,168 and 28,802
Double scale
Find third proportional to 6,586 and 14,405
Similar ratio
Find third proportional to 9,876 and 21,601.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.