Home / 2,099-2,288

Finding the Third Proportional to 2,099 and 2,288

Calculator

Solution

The third proportional to 2,099 and 2,288 is: 2,494.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099 : 2,288 = 2,288 : x
  2. Step 2: Convert to fraction form
    2,099/2,288 = 2,288/x
  3. Step 3: Cross multiply
    2,099x = 2,288 × 2,288
  4. Step 4: Simplify right side
    2,099x = 5,234,944
  5. Step 5: Solve for x
    x = 5,234,944/2,099
  6. Step 6: Final answer
    x = 2,494.02

Related Problems

Find third proportional to 1,049.50 and 1,144
Half scale
Find third proportional to 4,198 and 4,576
Double scale
Find third proportional to 2,101 and 2,290
Similar ratio
Find third proportional to 3,148.50 and 3,432
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.