Home / 352.13-459.56

Finding the Third Proportional to 352.13 and 459.56

Calculator

Solution

The third proportional to 352.13 and 459.56 is: 599.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.13 : 459.56 = 459.56 : x
  2. Step 2: Convert to fraction form
    352.13/459.56 = 459.56/x
  3. Step 3: Cross multiply
    352.13x = 459.56 × 459.56
  4. Step 4: Simplify right side
    352.13x = 211,197.69
  5. Step 5: Solve for x
    x = 211,197.69/352.13
  6. Step 6: Final answer
    x = 599.78

Related Problems

Find third proportional to 176.06 and 229.78
Half scale
Find third proportional to 704.25 and 919.13
Double scale
Find third proportional to 354 and 462
Similar ratio
Find third proportional to 528.19 and 689.34
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.