Home / 353-470.75

Finding the Third Proportional to 353 and 470.75

Calculator

Solution

The third proportional to 353 and 470.75 is: 627.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    353 : 470.75 = 470.75 : x
  2. Step 2: Convert to fraction form
    353/470.75 = 470.75/x
  3. Step 3: Cross multiply
    353x = 470.75 × 470.75
  4. Step 4: Simplify right side
    353x = 221,605.56
  5. Step 5: Solve for x
    x = 221,605.56/353
  6. Step 6: Final answer
    x = 627.78

Related Problems

Find third proportional to 176.50 and 235.38
Half scale
Find third proportional to 706 and 941.50
Double scale
Find third proportional to 355 and 473
Similar ratio
Find third proportional to 529.50 and 706.13
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.