Home / 2,569-6,586

Finding the Third Proportional to 2,569 and 6,586

Calculator

Solution

The third proportional to 2,569 and 6,586 is: 16,884.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569 : 6,586 = 6,586 : x
  2. Step 2: Convert to fraction form
    2,569/6,586 = 6,586/x
  3. Step 3: Cross multiply
    2,569x = 6,586 × 6,586
  4. Step 4: Simplify right side
    2,569x = 43,375,396
  5. Step 5: Solve for x
    x = 43,375,396/2,569
  6. Step 6: Final answer
    x = 16,884.16

Related Problems

Find third proportional to 1,284.50 and 3,293
Half scale
Find third proportional to 5,138 and 13,172
Double scale
Find third proportional to 2,571 and 6,591
Similar ratio
Find third proportional to 3,853.50 and 9,879
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.