Home / 7,400-8,204

Finding the Third Proportional to 7,400 and 8,204

Calculator

Solution

The third proportional to 7,400 and 8,204 is: 9,095.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,400 : 8,204 = 8,204 : x
  2. Step 2: Convert to fraction form
    7,400/8,204 = 8,204/x
  3. Step 3: Cross multiply
    7,400x = 8,204 × 8,204
  4. Step 4: Simplify right side
    7,400x = 67,305,616
  5. Step 5: Solve for x
    x = 67,305,616/7,400
  6. Step 6: Final answer
    x = 9,095.35

Related Problems

Find third proportional to 3,700 and 4,102
Half scale
Find third proportional to 14,800 and 16,408
Double scale
Find third proportional to 7,402 and 8,206
Similar ratio
Find third proportional to 11,100 and 12,306
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.