Home / 5,906-9,086

Finding the Third Proportional to 5,906 and 9,086

Calculator

Solution

The third proportional to 5,906 and 9,086 is: 13,978.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906 : 9,086 = 9,086 : x
  2. Step 2: Convert to fraction form
    5,906/9,086 = 9,086/x
  3. Step 3: Cross multiply
    5,906x = 9,086 × 9,086
  4. Step 4: Simplify right side
    5,906x = 82,555,396
  5. Step 5: Solve for x
    x = 82,555,396/5,906
  6. Step 6: Final answer
    x = 13,978.22

Related Problems

Find third proportional to 2,953 and 4,543
Half scale
Find third proportional to 11,812 and 18,172
Double scale
Find third proportional to 5,908 and 9,089
Similar ratio
Find third proportional to 8,859 and 13,629
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.