Home / 5,898-12,823

Finding the Third Proportional to 5,898 and 12,823

Calculator

Solution

The third proportional to 5,898 and 12,823 is: 27,878.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,898 : 12,823 = 12,823 : x
  2. Step 2: Convert to fraction form
    5,898/12,823 = 12,823/x
  3. Step 3: Cross multiply
    5,898x = 12,823 × 12,823
  4. Step 4: Simplify right side
    5,898x = 164,429,329
  5. Step 5: Solve for x
    x = 164,429,329/5,898
  6. Step 6: Final answer
    x = 27,878.83

Related Problems

Find third proportional to 2,949 and 6,411.50
Half scale
Find third proportional to 11,796 and 25,646
Double scale
Find third proportional to 5,900 and 12,827
Similar ratio
Find third proportional to 8,847 and 19,234.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.