Home / 6,586-10,075

Finding the Third Proportional to 6,586 and 10,075

Calculator

Solution

The third proportional to 6,586 and 10,075 is: 15,412.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586 : 10,075 = 10,075 : x
  2. Step 2: Convert to fraction form
    6,586/10,075 = 10,075/x
  3. Step 3: Cross multiply
    6,586x = 10,075 × 10,075
  4. Step 4: Simplify right side
    6,586x = 101,505,625
  5. Step 5: Solve for x
    x = 101,505,625/6,586
  6. Step 6: Final answer
    x = 15,412.33

Related Problems

Find third proportional to 3,293 and 5,037.50
Half scale
Find third proportional to 13,172 and 20,150
Double scale
Find third proportional to 6,588 and 10,078
Similar ratio
Find third proportional to 9,879 and 15,112.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.