Home / 1,783-3,830

Finding the Third Proportional to 1,783 and 3,830

Calculator

Solution

The third proportional to 1,783 and 3,830 is: 8,227.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783 : 3,830 = 3,830 : x
  2. Step 2: Convert to fraction form
    1,783/3,830 = 3,830/x
  3. Step 3: Cross multiply
    1,783x = 3,830 × 3,830
  4. Step 4: Simplify right side
    1,783x = 14,668,900
  5. Step 5: Solve for x
    x = 14,668,900/1,783
  6. Step 6: Final answer
    x = 8,227.09

Related Problems

Find third proportional to 891.50 and 1,915
Half scale
Find third proportional to 3,566 and 7,660
Double scale
Find third proportional to 1,785 and 3,834
Similar ratio
Find third proportional to 2,674.50 and 5,745
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.