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

Find third proportional to 720 and 800
Half scale
Find third proportional to 2,880 and 3,200
Double scale
Find third proportional to 1,442 and 1,602
Similar ratio
Find third proportional to 2,160 and 2,400
1.5x scale

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.