Home / 5,840-8,242

Finding the Third Proportional to 5,840 and 8,242

Calculator

Solution

The third proportional to 5,840 and 8,242 is: 11,631.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,840 : 8,242 = 8,242 : x
  2. Step 2: Convert to fraction form
    5,840/8,242 = 8,242/x
  3. Step 3: Cross multiply
    5,840x = 8,242 × 8,242
  4. Step 4: Simplify right side
    5,840x = 67,930,564
  5. Step 5: Solve for x
    x = 67,930,564/5,840
  6. Step 6: Final answer
    x = 11,631.95

Related Problems

Find third proportional to 2,920 and 4,121
Half scale
Find third proportional to 11,680 and 16,484
Double scale
Find third proportional to 5,842 and 8,245
Similar ratio
Find third proportional to 8,760 and 12,363
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.