Home / 103.22-159.09

Finding the Third Proportional to 103.22 and 159.09

Calculator

Solution

The third proportional to 103.22 and 159.09 is: 245.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.22 : 159.09 = 159.09 : x
  2. Step 2: Convert to fraction form
    103.22/159.09 = 159.09/x
  3. Step 3: Cross multiply
    103.22x = 159.09 × 159.09
  4. Step 4: Simplify right side
    103.22x = 25,310.82
  5. Step 5: Solve for x
    x = 25,310.82/103.22
  6. Step 6: Final answer
    x = 245.22

Related Problems

Find third proportional to 51.61 and 79.55
Half scale
Find third proportional to 206.44 and 318.19
Double scale
Find third proportional to 105 and 162
Similar ratio
Find third proportional to 154.83 and 238.64
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.