Home / 9,600-18,204

Finding the Third Proportional to 9,600 and 18,204

Calculator

Solution

The third proportional to 9,600 and 18,204 is: 34,519.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600 : 18,204 = 18,204 : x
  2. Step 2: Convert to fraction form
    9,600/18,204 = 18,204/x
  3. Step 3: Cross multiply
    9,600x = 18,204 × 18,204
  4. Step 4: Simplify right side
    9,600x = 331,385,616
  5. Step 5: Solve for x
    x = 331,385,616/9,600
  6. Step 6: Final answer
    x = 34,519.34

Related Problems

Find third proportional to 4,800 and 9,102
Half scale
Find third proportional to 19,200 and 36,408
Double scale
Find third proportional to 9,602 and 18,208
Similar ratio
Find third proportional to 14,400 and 27,306
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.