Home / 2,010-3,005

Finding the Third Proportional to 2,010 and 3,005

Calculator

Solution

The third proportional to 2,010 and 3,005 is: 4,492.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010 : 3,005 = 3,005 : x
  2. Step 2: Convert to fraction form
    2,010/3,005 = 3,005/x
  3. Step 3: Cross multiply
    2,010x = 3,005 × 3,005
  4. Step 4: Simplify right side
    2,010x = 9,030,025
  5. Step 5: Solve for x
    x = 9,030,025/2,010
  6. Step 6: Final answer
    x = 4,492.55

Related Problems

Find third proportional to 1,005 and 1,502.50
Half scale
Find third proportional to 4,020 and 6,010
Double scale
Find third proportional to 2,012 and 3,008
Similar ratio
Find third proportional to 3,015 and 4,507.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.