Home / 149,916-321,084

Finding the Third Proportional to 149,916 and 321,084

Calculator

Solution

The third proportional to 149,916 and 321,084 is: 687,684.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,916 : 321,084 = 321,084 : x
  2. Step 2: Convert to fraction form
    149,916/321,084 = 321,084/x
  3. Step 3: Cross multiply
    149,916x = 321,084 × 321,084
  4. Step 4: Simplify right side
    149,916x = 103,094,935,056
  5. Step 5: Solve for x
    x = 103,094,935,056/149,916
  6. Step 6: Final answer
    x = 687,684.67

Related Problems

Find third proportional to 74,958 and 160,542
Half scale
Find third proportional to 299,832 and 642,168
Double scale
Find third proportional to 149,918 and 321,088
Similar ratio
Find third proportional to 224,874 and 481,626
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.