Home / 2,780-6,089

Finding the Third Proportional to 2,780 and 6,089

Calculator

Solution

The third proportional to 2,780 and 6,089 is: 13,336.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780 : 6,089 = 6,089 : x
  2. Step 2: Convert to fraction form
    2,780/6,089 = 6,089/x
  3. Step 3: Cross multiply
    2,780x = 6,089 × 6,089
  4. Step 4: Simplify right side
    2,780x = 37,075,921
  5. Step 5: Solve for x
    x = 37,075,921/2,780
  6. Step 6: Final answer
    x = 13,336.66

Related Problems

Find third proportional to 1,390 and 3,044.50
Half scale
Find third proportional to 5,560 and 12,178
Double scale
Find third proportional to 2,782 and 6,093
Similar ratio
Find third proportional to 4,170 and 9,133.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.