Home / 1,760-2,230

Finding the Third Proportional to 1,760 and 2,230

Calculator

Solution

The third proportional to 1,760 and 2,230 is: 2,825.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760 : 2,230 = 2,230 : x
  2. Step 2: Convert to fraction form
    1,760/2,230 = 2,230/x
  3. Step 3: Cross multiply
    1,760x = 2,230 × 2,230
  4. Step 4: Simplify right side
    1,760x = 4,972,900
  5. Step 5: Solve for x
    x = 4,972,900/1,760
  6. Step 6: Final answer
    x = 2,825.51

Related Problems

Find third proportional to 880 and 1,115
Half scale
Find third proportional to 3,520 and 4,460
Double scale
Find third proportional to 1,762 and 2,233
Similar ratio
Find third proportional to 2,640 and 3,345
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.