Home / 149,879-313,614

Finding the Third Proportional to 149,879 and 313,614

Calculator

Solution

The third proportional to 149,879 and 313,614 is: 656,220.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,879 : 313,614 = 313,614 : x
  2. Step 2: Convert to fraction form
    149,879/313,614 = 313,614/x
  3. Step 3: Cross multiply
    149,879x = 313,614 × 313,614
  4. Step 4: Simplify right side
    149,879x = 98,353,740,996
  5. Step 5: Solve for x
    x = 98,353,740,996/149,879
  6. Step 6: Final answer
    x = 656,220.96

Related Problems

Find third proportional to 74,939.50 and 156,807
Half scale
Find third proportional to 299,758 and 627,228
Double scale
Find third proportional to 149,881 and 313,618
Similar ratio
Find third proportional to 224,818.50 and 470,421
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.