Home / 321.19-433.69

Finding the Third Proportional to 321.19 and 433.69

Calculator

Solution

The third proportional to 321.19 and 433.69 is: 585.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.19 : 433.69 = 433.69 : x
  2. Step 2: Convert to fraction form
    321.19/433.69 = 433.69/x
  3. Step 3: Cross multiply
    321.19x = 433.69 × 433.69
  4. Step 4: Simplify right side
    321.19x = 188,084.85
  5. Step 5: Solve for x
    x = 188,084.85/321.19
  6. Step 6: Final answer
    x = 585.59

Related Problems

Find third proportional to 160.59 and 216.84
Half scale
Find third proportional to 642.38 and 867.38
Double scale
Find third proportional to 323 and 436
Similar ratio
Find third proportional to 481.78 and 650.53
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.