Home / 3,783-8,214

Finding the Third Proportional to 3,783 and 8,214

Calculator

Solution

The third proportional to 3,783 and 8,214 is: 17,835.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783 : 8,214 = 8,214 : x
  2. Step 2: Convert to fraction form
    3,783/8,214 = 8,214/x
  3. Step 3: Cross multiply
    3,783x = 8,214 × 8,214
  4. Step 4: Simplify right side
    3,783x = 67,469,796
  5. Step 5: Solve for x
    x = 67,469,796/3,783
  6. Step 6: Final answer
    x = 17,835.00

Related Problems

Find third proportional to 1,891.50 and 4,107
Half scale
Find third proportional to 7,566 and 16,428
Double scale
Find third proportional to 3,785 and 8,218
Similar ratio
Find third proportional to 5,674.50 and 12,321
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.