Home / 1,660-3,084

Finding the Third Proportional to 1,660 and 3,084

Calculator

Solution

The third proportional to 1,660 and 3,084 is: 5,729.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660 : 3,084 = 3,084 : x
  2. Step 2: Convert to fraction form
    1,660/3,084 = 3,084/x
  3. Step 3: Cross multiply
    1,660x = 3,084 × 3,084
  4. Step 4: Simplify right side
    1,660x = 9,511,056
  5. Step 5: Solve for x
    x = 9,511,056/1,660
  6. Step 6: Final answer
    x = 5,729.55

Related Problems

Find third proportional to 830 and 1,542
Half scale
Find third proportional to 3,320 and 6,168
Double scale
Find third proportional to 1,662 and 3,088
Similar ratio
Find third proportional to 2,490 and 4,626
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.