Home / 254-413.50

Finding the Third Proportional to 254 and 413.50

Calculator

Solution

The third proportional to 254 and 413.50 is: 673.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    254 : 413.50 = 413.50 : x
  2. Step 2: Convert to fraction form
    254/413.50 = 413.50/x
  3. Step 3: Cross multiply
    254x = 413.50 × 413.50
  4. Step 4: Simplify right side
    254x = 170,982.25
  5. Step 5: Solve for x
    x = 170,982.25/254
  6. Step 6: Final answer
    x = 673.16

Related Problems

Find third proportional to 127 and 206.75
Half scale
Find third proportional to 508 and 827
Double scale
Find third proportional to 256 and 417
Similar ratio
Find third proportional to 381 and 620.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.