Home / 1,005-2,157

Finding the Third Proportional to 1,005 and 2,157

Calculator

Solution

The third proportional to 1,005 and 2,157 is: 4,629.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005 : 2,157 = 2,157 : x
  2. Step 2: Convert to fraction form
    1,005/2,157 = 2,157/x
  3. Step 3: Cross multiply
    1,005x = 2,157 × 2,157
  4. Step 4: Simplify right side
    1,005x = 4,652,649
  5. Step 5: Solve for x
    x = 4,652,649/1,005
  6. Step 6: Final answer
    x = 4,629.50

Related Problems

Find third proportional to 502.50 and 1,078.50
Half scale
Find third proportional to 2,010 and 4,314
Double scale
Find third proportional to 1,007 and 2,161
Similar ratio
Find third proportional to 1,507.50 and 3,235.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.