Home / 668-1,006

Finding the Third Proportional to 668 and 1,006

Calculator

Solution

The third proportional to 668 and 1,006 is: 1,515.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    668 : 1,006 = 1,006 : x
  2. Step 2: Convert to fraction form
    668/1,006 = 1,006/x
  3. Step 3: Cross multiply
    668x = 1,006 × 1,006
  4. Step 4: Simplify right side
    668x = 1,012,036
  5. Step 5: Solve for x
    x = 1,012,036/668
  6. Step 6: Final answer
    x = 1,515.02

Related Problems

Find third proportional to 334 and 503
Half scale
Find third proportional to 1,336 and 2,012
Double scale
Find third proportional to 670 and 1,009
Similar ratio
Find third proportional to 1,002 and 1,509
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.