Home / 5,877-11,466

Finding the Third Proportional to 5,877 and 11,466

Calculator

Solution

The third proportional to 5,877 and 11,466 is: 22,370.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877 : 11,466 = 11,466 : x
  2. Step 2: Convert to fraction form
    5,877/11,466 = 11,466/x
  3. Step 3: Cross multiply
    5,877x = 11,466 × 11,466
  4. Step 4: Simplify right side
    5,877x = 131,469,156
  5. Step 5: Solve for x
    x = 131,469,156/5,877
  6. Step 6: Final answer
    x = 22,370.11

Related Problems

Find third proportional to 2,938.50 and 5,733
Half scale
Find third proportional to 11,754 and 22,932
Double scale
Find third proportional to 5,879 and 11,470
Similar ratio
Find third proportional to 8,815.50 and 17,199
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.