Home / 149,712-320,168

Finding the Third Proportional to 149,712 and 320,168

Calculator

Solution

The third proportional to 149,712 and 320,168 is: 684,698.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,712 : 320,168 = 320,168 : x
  2. Step 2: Convert to fraction form
    149,712/320,168 = 320,168/x
  3. Step 3: Cross multiply
    149,712x = 320,168 × 320,168
  4. Step 4: Simplify right side
    149,712x = 102,507,548,224
  5. Step 5: Solve for x
    x = 102,507,548,224/149,712
  6. Step 6: Final answer
    x = 684,698.28

Related Problems

Find third proportional to 74,856 and 160,084
Half scale
Find third proportional to 299,424 and 640,336
Double scale
Find third proportional to 149,714 and 320,172
Similar ratio
Find third proportional to 224,568 and 480,252
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.