Home / 319-509.50

Finding the Third Proportional to 319 and 509.50

Calculator

Solution

The third proportional to 319 and 509.50 is: 813.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    319 : 509.50 = 509.50 : x
  2. Step 2: Convert to fraction form
    319/509.50 = 509.50/x
  3. Step 3: Cross multiply
    319x = 509.50 × 509.50
  4. Step 4: Simplify right side
    319x = 259,590.25
  5. Step 5: Solve for x
    x = 259,590.25/319
  6. Step 6: Final answer
    x = 813.76

Related Problems

Find third proportional to 159.50 and 254.75
Half scale
Find third proportional to 638 and 1,019
Double scale
Find third proportional to 321 and 513
Similar ratio
Find third proportional to 478.50 and 764.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.