Home / 1,440-1,600

Finding the Third Proportional to 1,440 and 1,600

Calculator

Solution

The third proportional to 1,440 and 1,600 is: 1,777.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440 : 1,600 = 1,600 : x
  2. Step 2: Convert to fraction form
    1,440/1,600 = 1,600/x
  3. Step 3: Cross multiply
    1,440x = 1,600 × 1,600
  4. Step 4: Simplify right side
    1,440x = 2,560,000
  5. Step 5: Solve for x
    x = 2,560,000/1,440
  6. Step 6: Final answer
    x = 1,777.78

Related Problems

Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.