Home / 1,028-2,042

Finding the Third Proportional to 1,028 and 2,042

Calculator

Solution

The third proportional to 1,028 and 2,042 is: 4,056.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028 : 2,042 = 2,042 : x
  2. Step 2: Convert to fraction form
    1,028/2,042 = 2,042/x
  3. Step 3: Cross multiply
    1,028x = 2,042 × 2,042
  4. Step 4: Simplify right side
    1,028x = 4,169,764
  5. Step 5: Solve for x
    x = 4,169,764/1,028
  6. Step 6: Final answer
    x = 4,056.19

Related Problems

Find third proportional to 514 and 1,021
Half scale
Find third proportional to 2,056 and 4,084
Double scale
Find third proportional to 1,030 and 2,046
Similar ratio
Find third proportional to 1,542 and 3,063
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.99) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.