Home / 149,676-320,106

Finding the Third Proportional to 149,676 and 320,106

Calculator

Solution

The third proportional to 149,676 and 320,106 is: 684,597.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,676 : 320,106 = 320,106 : x
  2. Step 2: Convert to fraction form
    149,676/320,106 = 320,106/x
  3. Step 3: Cross multiply
    149,676x = 320,106 × 320,106
  4. Step 4: Simplify right side
    149,676x = 102,467,851,236
  5. Step 5: Solve for x
    x = 102,467,851,236/149,676
  6. Step 6: Final answer
    x = 684,597.74

Related Problems

Find third proportional to 74,838 and 160,053
Half scale
Find third proportional to 299,352 and 640,212
Double scale
Find third proportional to 149,678 and 320,110
Similar ratio
Find third proportional to 224,514 and 480,159
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.