Home / 628-1,028

Finding the Third Proportional to 628 and 1,028

Calculator

Solution

The third proportional to 628 and 1,028 is: 1,682.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    628 : 1,028 = 1,028 : x
  2. Step 2: Convert to fraction form
    628/1,028 = 1,028/x
  3. Step 3: Cross multiply
    628x = 1,028 × 1,028
  4. Step 4: Simplify right side
    628x = 1,056,784
  5. Step 5: Solve for x
    x = 1,056,784/628
  6. Step 6: Final answer
    x = 1,682.78

Related Problems

Find third proportional to 314 and 514
Half scale
Find third proportional to 1,256 and 2,056
Double scale
Find third proportional to 630 and 1,031
Similar ratio
Find third proportional to 942 and 1,542
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.