Home / 106,478-165,099

Finding the Third Proportional to 106,478 and 165,099

Calculator

Solution

The third proportional to 106,478 and 165,099 is: 255,993.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,478 : 165,099 = 165,099 : x
  2. Step 2: Convert to fraction form
    106,478/165,099 = 165,099/x
  3. Step 3: Cross multiply
    106,478x = 165,099 × 165,099
  4. Step 4: Simplify right side
    106,478x = 27,257,679,801
  5. Step 5: Solve for x
    x = 27,257,679,801/106,478
  6. Step 6: Final answer
    x = 255,993.54

Related Problems

Find third proportional to 53,239 and 82,549.50
Half scale
Find third proportional to 212,956 and 330,198
Double scale
Find third proportional to 106,480 and 165,102
Similar ratio
Find third proportional to 159,717 and 247,648.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.