Home / 5,890-8,106

Finding the Third Proportional to 5,890 and 8,106

Calculator

Solution

The third proportional to 5,890 and 8,106 is: 11,155.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890 : 8,106 = 8,106 : x
  2. Step 2: Convert to fraction form
    5,890/8,106 = 8,106/x
  3. Step 3: Cross multiply
    5,890x = 8,106 × 8,106
  4. Step 4: Simplify right side
    5,890x = 65,707,236
  5. Step 5: Solve for x
    x = 65,707,236/5,890
  6. Step 6: Final answer
    x = 11,155.73

Related Problems

Find third proportional to 2,945 and 4,053
Half scale
Find third proportional to 11,780 and 16,212
Double scale
Find third proportional to 5,892 and 8,109
Similar ratio
Find third proportional to 8,835 and 12,159
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.