Home / 1,784-3,420

Finding the Third Proportional to 1,784 and 3,420

Calculator

Solution

The third proportional to 1,784 and 3,420 is: 6,556.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784 : 3,420 = 3,420 : x
  2. Step 2: Convert to fraction form
    1,784/3,420 = 3,420/x
  3. Step 3: Cross multiply
    1,784x = 3,420 × 3,420
  4. Step 4: Simplify right side
    1,784x = 11,696,400
  5. Step 5: Solve for x
    x = 11,696,400/1,784
  6. Step 6: Final answer
    x = 6,556.28

Related Problems

Find third proportional to 892 and 1,710
Half scale
Find third proportional to 3,568 and 6,840
Double scale
Find third proportional to 1,786 and 3,424
Similar ratio
Find third proportional to 2,676 and 5,130
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.