Home / 6,584-14,204

Finding the Third Proportional to 6,584 and 14,204

Calculator

Solution

The third proportional to 6,584 and 14,204 is: 30,643.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584 : 14,204 = 14,204 : x
  2. Step 2: Convert to fraction form
    6,584/14,204 = 14,204/x
  3. Step 3: Cross multiply
    6,584x = 14,204 × 14,204
  4. Step 4: Simplify right side
    6,584x = 201,753,616
  5. Step 5: Solve for x
    x = 201,753,616/6,584
  6. Step 6: Final answer
    x = 30,643.02

Related Problems

Find third proportional to 3,292 and 7,102
Half scale
Find third proportional to 13,168 and 28,408
Double scale
Find third proportional to 6,586 and 14,208
Similar ratio
Find third proportional to 9,876 and 21,306
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.