Home / 2,040-3,285

Finding the Third Proportional to 2,040 and 3,285

Calculator

Solution

The third proportional to 2,040 and 3,285 is: 5,289.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040 : 3,285 = 3,285 : x
  2. Step 2: Convert to fraction form
    2,040/3,285 = 3,285/x
  3. Step 3: Cross multiply
    2,040x = 3,285 × 3,285
  4. Step 4: Simplify right side
    2,040x = 10,791,225
  5. Step 5: Solve for x
    x = 10,791,225/2,040
  6. Step 6: Final answer
    x = 5,289.82

Related Problems

Find third proportional to 1,020 and 1,642.50
Half scale
Find third proportional to 4,080 and 6,570
Double scale
Find third proportional to 2,042 and 3,288
Similar ratio
Find third proportional to 3,060 and 4,927.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.