Home / 150,599-313,673

Finding the Third Proportional to 150,599 and 313,673

Calculator

Solution

The third proportional to 150,599 and 313,673 is: 653,329.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,599 : 313,673 = 313,673 : x
  2. Step 2: Convert to fraction form
    150,599/313,673 = 313,673/x
  3. Step 3: Cross multiply
    150,599x = 313,673 × 313,673
  4. Step 4: Simplify right side
    150,599x = 98,390,750,929
  5. Step 5: Solve for x
    x = 98,390,750,929/150,599
  6. Step 6: Final answer
    x = 653,329.38

Related Problems

Find third proportional to 75,299.50 and 156,836.50
Half scale
Find third proportional to 301,198 and 627,346
Double scale
Find third proportional to 150,601 and 313,677
Similar ratio
Find third proportional to 225,898.50 and 470,509.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.