Home / 350-509.50

Finding the Third Proportional to 350 and 509.50

Calculator

Solution

The third proportional to 350 and 509.50 is: 741.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    350 : 509.50 = 509.50 : x
  2. Step 2: Convert to fraction form
    350/509.50 = 509.50/x
  3. Step 3: Cross multiply
    350x = 509.50 × 509.50
  4. Step 4: Simplify right side
    350x = 259,590.25
  5. Step 5: Solve for x
    x = 259,590.25/350
  6. Step 6: Final answer
    x = 741.69

Related Problems

Find third proportional to 175 and 254.75
Half scale
Find third proportional to 700 and 1,019
Double scale
Find third proportional to 352 and 512
Similar ratio
Find third proportional to 525 and 764.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.