Home / 1,006-2,078

Finding the Third Proportional to 1,006 and 2,078

Calculator

Solution

The third proportional to 1,006 and 2,078 is: 4,292.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006 : 2,078 = 2,078 : x
  2. Step 2: Convert to fraction form
    1,006/2,078 = 2,078/x
  3. Step 3: Cross multiply
    1,006x = 2,078 × 2,078
  4. Step 4: Simplify right side
    1,006x = 4,318,084
  5. Step 5: Solve for x
    x = 4,318,084/1,006
  6. Step 6: Final answer
    x = 4,292.33

Related Problems

Find third proportional to 503 and 1,039
Half scale
Find third proportional to 2,012 and 4,156
Double scale
Find third proportional to 1,008 and 2,082
Similar ratio
Find third proportional to 1,509 and 3,117
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.