Home / 580-628

Finding the Third Proportional to 580 and 628

Calculator

Solution

The third proportional to 580 and 628 is: 679.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    580 : 628 = 628 : x
  2. Step 2: Convert to fraction form
    580/628 = 628/x
  3. Step 3: Cross multiply
    580x = 628 × 628
  4. Step 4: Simplify right side
    580x = 394,384
  5. Step 5: Solve for x
    x = 394,384/580
  6. Step 6: Final answer
    x = 679.97

Related Problems

Find third proportional to 290 and 314
Half scale
Find third proportional to 1,160 and 1,256
Double scale
Find third proportional to 582 and 630
Similar ratio
Find third proportional to 870 and 942
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.