Home / 100,027-146,086

Finding the Third Proportional to 100,027 and 146,086

Calculator

Solution

The third proportional to 100,027 and 146,086 is: 213,353.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,027 : 146,086 = 146,086 : x
  2. Step 2: Convert to fraction form
    100,027/146,086 = 146,086/x
  3. Step 3: Cross multiply
    100,027x = 146,086 × 146,086
  4. Step 4: Simplify right side
    100,027x = 21,341,119,396
  5. Step 5: Solve for x
    x = 21,341,119,396/100,027
  6. Step 6: Final answer
    x = 213,353.59

Related Problems

Find third proportional to 50,013.50 and 73,043
Half scale
Find third proportional to 200,054 and 292,172
Double scale
Find third proportional to 100,029 and 146,089
Similar ratio
Find third proportional to 150,040.50 and 219,129
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.