Home / 71,823-154,305

Finding the Third Proportional to 71,823 and 154,305

Calculator

Solution

The third proportional to 71,823 and 154,305 is: 331,509.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,823 : 154,305 = 154,305 : x
  2. Step 2: Convert to fraction form
    71,823/154,305 = 154,305/x
  3. Step 3: Cross multiply
    71,823x = 154,305 × 154,305
  4. Step 4: Simplify right side
    71,823x = 23,810,033,025
  5. Step 5: Solve for x
    x = 23,810,033,025/71,823
  6. Step 6: Final answer
    x = 331,509.86

Related Problems

Find third proportional to 35,911.50 and 77,152.50
Half scale
Find third proportional to 143,646 and 308,610
Double scale
Find third proportional to 71,825 and 154,309
Similar ratio
Find third proportional to 107,734.50 and 231,457.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.