Home / 2,109-2,952

Finding the Third Proportional to 2,109 and 2,952

Calculator

Solution

The third proportional to 2,109 and 2,952 is: 4,131.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109 : 2,952 = 2,952 : x
  2. Step 2: Convert to fraction form
    2,109/2,952 = 2,952/x
  3. Step 3: Cross multiply
    2,109x = 2,952 × 2,952
  4. Step 4: Simplify right side
    2,109x = 8,714,304
  5. Step 5: Solve for x
    x = 8,714,304/2,109
  6. Step 6: Final answer
    x = 4,131.96

Related Problems

Find third proportional to 1,054.50 and 1,476
Half scale
Find third proportional to 4,218 and 5,904
Double scale
Find third proportional to 2,111 and 2,955
Similar ratio
Find third proportional to 3,163.50 and 4,428
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.