Home / 403-512.50

Finding the Third Proportional to 403 and 512.50

Calculator

Solution

The third proportional to 403 and 512.50 is: 651.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    403 : 512.50 = 512.50 : x
  2. Step 2: Convert to fraction form
    403/512.50 = 512.50/x
  3. Step 3: Cross multiply
    403x = 512.50 × 512.50
  4. Step 4: Simplify right side
    403x = 262,656.25
  5. Step 5: Solve for x
    x = 262,656.25/403
  6. Step 6: Final answer
    x = 651.75

Related Problems

Find third proportional to 201.50 and 256.25
Half scale
Find third proportional to 806 and 1,025
Double scale
Find third proportional to 405 and 515
Similar ratio
Find third proportional to 604.50 and 768.75
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.