Home / 1,409-2,780

Finding the Third Proportional to 1,409 and 2,780

Calculator

Solution

The third proportional to 1,409 and 2,780 is: 5,485.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409 : 2,780 = 2,780 : x
  2. Step 2: Convert to fraction form
    1,409/2,780 = 2,780/x
  3. Step 3: Cross multiply
    1,409x = 2,780 × 2,780
  4. Step 4: Simplify right side
    1,409x = 7,728,400
  5. Step 5: Solve for x
    x = 7,728,400/1,409
  6. Step 6: Final answer
    x = 5,485.02

Related Problems

Find third proportional to 704.50 and 1,390
Half scale
Find third proportional to 2,818 and 5,560
Double scale
Find third proportional to 1,411 and 2,784
Similar ratio
Find third proportional to 2,113.50 and 4,170
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.