Home / 145,696-320,296

Finding the Third Proportional to 145,696 and 320,296

Calculator

Solution

The third proportional to 145,696 and 320,296 is: 704,134.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,696 : 320,296 = 320,296 : x
  2. Step 2: Convert to fraction form
    145,696/320,296 = 320,296/x
  3. Step 3: Cross multiply
    145,696x = 320,296 × 320,296
  4. Step 4: Simplify right side
    145,696x = 102,589,527,616
  5. Step 5: Solve for x
    x = 102,589,527,616/145,696
  6. Step 6: Final answer
    x = 704,134.14

Related Problems

Find third proportional to 72,848 and 160,148
Half scale
Find third proportional to 291,392 and 640,592
Double scale
Find third proportional to 145,698 and 320,300
Similar ratio
Find third proportional to 218,544 and 480,444
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.