Home / 503-605

Finding the Third Proportional to 503 and 605

Calculator

Solution

The third proportional to 503 and 605 is: 727.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    503 : 605 = 605 : x
  2. Step 2: Convert to fraction form
    503/605 = 605/x
  3. Step 3: Cross multiply
    503x = 605 × 605
  4. Step 4: Simplify right side
    503x = 366,025
  5. Step 5: Solve for x
    x = 366,025/503
  6. Step 6: Final answer
    x = 727.68

Related Problems

Find third proportional to 251.50 and 302.50
Half scale
Find third proportional to 1,006 and 1,210
Double scale
Find third proportional to 505 and 607
Similar ratio
Find third proportional to 754.50 and 907.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.