Home / 8,284-18,209

Finding the Third Proportional to 8,284 and 18,209

Calculator

Solution

The third proportional to 8,284 and 18,209 is: 40,025.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284 : 18,209 = 18,209 : x
  2. Step 2: Convert to fraction form
    8,284/18,209 = 18,209/x
  3. Step 3: Cross multiply
    8,284x = 18,209 × 18,209
  4. Step 4: Simplify right side
    8,284x = 331,567,681
  5. Step 5: Solve for x
    x = 331,567,681/8,284
  6. Step 6: Final answer
    x = 40,025.07

Related Problems

Find third proportional to 4,142 and 9,104.50
Half scale
Find third proportional to 16,568 and 36,418
Double scale
Find third proportional to 8,286 and 18,213
Similar ratio
Find third proportional to 12,426 and 27,313.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.