Home / 250-417

Finding the Third Proportional to 250 and 417

Calculator

Solution

The third proportional to 250 and 417 is: 695.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    250 : 417 = 417 : x
  2. Step 2: Convert to fraction form
    250/417 = 417/x
  3. Step 3: Cross multiply
    250x = 417 × 417
  4. Step 4: Simplify right side
    250x = 173,889
  5. Step 5: Solve for x
    x = 173,889/250
  6. Step 6: Final answer
    x = 695.56

Related Problems

Find third proportional to 125 and 208.50
Half scale
Find third proportional to 500 and 834
Double scale
Find third proportional to 252 and 420
Similar ratio
Find third proportional to 375 and 625.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.