Home / 842-1,600

Finding the Third Proportional to 842 and 1,600

Calculator

Solution

The third proportional to 842 and 1,600 is: 3,040.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    842 : 1,600 = 1,600 : x
  2. Step 2: Convert to fraction form
    842/1,600 = 1,600/x
  3. Step 3: Cross multiply
    842x = 1,600 × 1,600
  4. Step 4: Simplify right side
    842x = 2,560,000
  5. Step 5: Solve for x
    x = 2,560,000/842
  6. Step 6: Final answer
    x = 3,040.38

Related Problems

Find third proportional to 421 and 800
Half scale
Find third proportional to 1,684 and 3,200
Double scale
Find third proportional to 844 and 1,604
Similar ratio
Find third proportional to 1,263 and 2,400
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.