Home / 5,909-12,586

Finding the Third Proportional to 5,909 and 12,586

Calculator

Solution

The third proportional to 5,909 and 12,586 is: 26,807.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,909 : 12,586 = 12,586 : x
  2. Step 2: Convert to fraction form
    5,909/12,586 = 12,586/x
  3. Step 3: Cross multiply
    5,909x = 12,586 × 12,586
  4. Step 4: Simplify right side
    5,909x = 158,407,396
  5. Step 5: Solve for x
    x = 158,407,396/5,909
  6. Step 6: Final answer
    x = 26,807.82

Related Problems

Find third proportional to 2,954.50 and 6,293
Half scale
Find third proportional to 11,818 and 25,172
Double scale
Find third proportional to 5,911 and 12,590
Similar ratio
Find third proportional to 8,863.50 and 18,879
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.