Home / 259.50-398.25

Finding the Third Proportional to 259.50 and 398.25

Calculator

Solution

The third proportional to 259.50 and 398.25 is: 611.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.50 : 398.25 = 398.25 : x
  2. Step 2: Convert to fraction form
    259.50/398.25 = 398.25/x
  3. Step 3: Cross multiply
    259.50x = 398.25 × 398.25
  4. Step 4: Simplify right side
    259.50x = 158,603.06
  5. Step 5: Solve for x
    x = 158,603.06/259.50
  6. Step 6: Final answer
    x = 611.19

Related Problems

Find third proportional to 129.75 and 199.13
Half scale
Find third proportional to 519 and 796.50
Double scale
Find third proportional to 262 and 401
Similar ratio
Find third proportional to 389.25 and 597.38
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.