Home / 503-1,006

Finding the Third Proportional to 503 and 1,006

Calculator

Solution

The third proportional to 503 and 1,006 is: 2,012

Step by Step Solution

  1. Step 1: Write the proportion equation
    503 : 1,006 = 1,006 : x
  2. Step 2: Convert to fraction form
    503/1,006 = 1,006/x
  3. Step 3: Cross multiply
    503x = 1,006 × 1,006
  4. Step 4: Simplify right side
    503x = 1,012,036
  5. Step 5: Solve for x
    x = 1,012,036/503
  6. Step 6: Final answer
    x = 2,012

Related Problems

Find third proportional to 251.50 and 503
Half scale
Find third proportional to 1,006 and 2,012
Double scale
Find third proportional to 505 and 1,010
Similar ratio
Find third proportional to 754.50 and 1,509
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.