Home / 103.88-164.19

Finding the Third Proportional to 103.88 and 164.19

Calculator

Solution

The third proportional to 103.88 and 164.19 is: 259.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.88 : 164.19 = 164.19 : x
  2. Step 2: Convert to fraction form
    103.88/164.19 = 164.19/x
  3. Step 3: Cross multiply
    103.88x = 164.19 × 164.19
  4. Step 4: Simplify right side
    103.88x = 26,957.54
  5. Step 5: Solve for x
    x = 26,957.54/103.88
  6. Step 6: Final answer
    x = 259.52

Related Problems

Find third proportional to 51.94 and 82.09
Half scale
Find third proportional to 207.75 and 328.38
Double scale
Find third proportional to 106 and 167
Similar ratio
Find third proportional to 155.81 and 246.28
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.