Home / 106,815-166,055

Finding the Third Proportional to 106,815 and 166,055

Calculator

Solution

The third proportional to 106,815 and 166,055 is: 258,149.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,815 : 166,055 = 166,055 : x
  2. Step 2: Convert to fraction form
    106,815/166,055 = 166,055/x
  3. Step 3: Cross multiply
    106,815x = 166,055 × 166,055
  4. Step 4: Simplify right side
    106,815x = 27,574,263,025
  5. Step 5: Solve for x
    x = 27,574,263,025/106,815
  6. Step 6: Final answer
    x = 258,149.73

Related Problems

Find third proportional to 53,407.50 and 83,027.50
Half scale
Find third proportional to 213,630 and 332,110
Double scale
Find third proportional to 106,817 and 166,058
Similar ratio
Find third proportional to 160,222.50 and 249,082.50
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.