Home / 248-649

Finding the Third Proportional to 248 and 649

Calculator

Solution

The third proportional to 248 and 649 is: 1,698.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    248 : 649 = 649 : x
  2. Step 2: Convert to fraction form
    248/649 = 649/x
  3. Step 3: Cross multiply
    248x = 649 × 649
  4. Step 4: Simplify right side
    248x = 421,201
  5. Step 5: Solve for x
    x = 421,201/248
  6. Step 6: Final answer
    x = 1,698.39

Related Problems

Find third proportional to 124 and 324.50
Half scale
Find third proportional to 496 and 1,298
Double scale
Find third proportional to 250 and 654
Similar ratio
Find third proportional to 372 and 973.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.