Home / 6,744-13,780

Finding the Third Proportional to 6,744 and 13,780

Calculator

Solution

The third proportional to 6,744 and 13,780 is: 28,156.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,744 : 13,780 = 13,780 : x
  2. Step 2: Convert to fraction form
    6,744/13,780 = 13,780/x
  3. Step 3: Cross multiply
    6,744x = 13,780 × 13,780
  4. Step 4: Simplify right side
    6,744x = 189,888,400
  5. Step 5: Solve for x
    x = 189,888,400/6,744
  6. Step 6: Final answer
    x = 28,156.64

Related Problems

Find third proportional to 3,372 and 6,890
Half scale
Find third proportional to 13,488 and 27,560
Double scale
Find third proportional to 6,746 and 13,784
Similar ratio
Find third proportional to 10,116 and 20,670
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.