Home / 433.13-505.69

Finding the Third Proportional to 433.13 and 505.69

Calculator

Solution

The third proportional to 433.13 and 505.69 is: 590.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.13 : 505.69 = 505.69 : x
  2. Step 2: Convert to fraction form
    433.13/505.69 = 505.69/x
  3. Step 3: Cross multiply
    433.13x = 505.69 × 505.69
  4. Step 4: Simplify right side
    433.13x = 255,719.85
  5. Step 5: Solve for x
    x = 255,719.85/433.13
  6. Step 6: Final answer
    x = 590.41

Related Problems

Find third proportional to 216.56 and 252.84
Half scale
Find third proportional to 866.25 and 1,011.38
Double scale
Find third proportional to 435 and 508
Similar ratio
Find third proportional to 649.69 and 758.53
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.