Home / 110.35-259.49

Finding the Third Proportional to 110.35 and 259.49

Calculator

Solution

The third proportional to 110.35 and 259.49 is: 610.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.35 : 259.49 = 259.49 : x
  2. Step 2: Convert to fraction form
    110.35/259.49 = 259.49/x
  3. Step 3: Cross multiply
    110.35x = 259.49 × 259.49
  4. Step 4: Simplify right side
    110.35x = 67,336.45
  5. Step 5: Solve for x
    x = 67,336.45/110.35
  6. Step 6: Final answer
    x = 610.23

Related Problems

Find third proportional to 55.17 and 129.75
Half scale
Find third proportional to 220.69 and 518.99
Double scale
Find third proportional to 112 and 264
Similar ratio
Find third proportional to 165.52 and 389.24
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.