Home / 105,952-165,186

Finding the Third Proportional to 105,952 and 165,186

Calculator

Solution

The third proportional to 105,952 and 165,186 is: 257,535.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,952 : 165,186 = 165,186 : x
  2. Step 2: Convert to fraction form
    105,952/165,186 = 165,186/x
  3. Step 3: Cross multiply
    105,952x = 165,186 × 165,186
  4. Step 4: Simplify right side
    105,952x = 27,286,414,596
  5. Step 5: Solve for x
    x = 27,286,414,596/105,952
  6. Step 6: Final answer
    x = 257,535.63

Related Problems

Find third proportional to 52,976 and 82,593
Half scale
Find third proportional to 211,904 and 330,372
Double scale
Find third proportional to 105,954 and 165,189
Similar ratio
Find third proportional to 158,928 and 247,779
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.