Home / 5,350-8,209

Finding the Third Proportional to 5,350 and 8,209

Calculator

Solution

The third proportional to 5,350 and 8,209 is: 12,595.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,350 : 8,209 = 8,209 : x
  2. Step 2: Convert to fraction form
    5,350/8,209 = 8,209/x
  3. Step 3: Cross multiply
    5,350x = 8,209 × 8,209
  4. Step 4: Simplify right side
    5,350x = 67,387,681
  5. Step 5: Solve for x
    x = 67,387,681/5,350
  6. Step 6: Final answer
    x = 12,595.83

Related Problems

Find third proportional to 2,675 and 4,104.50
Half scale
Find third proportional to 10,700 and 16,418
Double scale
Find third proportional to 5,352 and 8,212
Similar ratio
Find third proportional to 8,025 and 12,313.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.