Home / 149,709-323,148

Finding the Third Proportional to 149,709 and 323,148

Calculator

Solution

The third proportional to 149,709 and 323,148 is: 697,517.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,709 : 323,148 = 323,148 : x
  2. Step 2: Convert to fraction form
    149,709/323,148 = 323,148/x
  3. Step 3: Cross multiply
    149,709x = 323,148 × 323,148
  4. Step 4: Simplify right side
    149,709x = 104,424,629,904
  5. Step 5: Solve for x
    x = 104,424,629,904/149,709
  6. Step 6: Final answer
    x = 697,517.38

Related Problems

Find third proportional to 74,854.50 and 161,574
Half scale
Find third proportional to 299,418 and 646,296
Double scale
Find third proportional to 149,711 and 323,152
Similar ratio
Find third proportional to 224,563.50 and 484,722
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.