Home / 1,096-1,601

Finding the Third Proportional to 1,096 and 1,601

Calculator

Solution

The third proportional to 1,096 and 1,601 is: 2,338.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096 : 1,601 = 1,601 : x
  2. Step 2: Convert to fraction form
    1,096/1,601 = 1,601/x
  3. Step 3: Cross multiply
    1,096x = 1,601 × 1,601
  4. Step 4: Simplify right side
    1,096x = 2,563,201
  5. Step 5: Solve for x
    x = 2,563,201/1,096
  6. Step 6: Final answer
    x = 2,338.69

Related Problems

Find third proportional to 548 and 800.50
Half scale
Find third proportional to 2,192 and 3,202
Double scale
Find third proportional to 1,098 and 1,604
Similar ratio
Find third proportional to 1,644 and 2,401.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.