Home / 1,013-2,065

Finding the Third Proportional to 1,013 and 2,065

Calculator

Solution

The third proportional to 1,013 and 2,065 is: 4,209.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013 : 2,065 = 2,065 : x
  2. Step 2: Convert to fraction form
    1,013/2,065 = 2,065/x
  3. Step 3: Cross multiply
    1,013x = 2,065 × 2,065
  4. Step 4: Simplify right side
    1,013x = 4,264,225
  5. Step 5: Solve for x
    x = 4,264,225/1,013
  6. Step 6: Final answer
    x = 4,209.50

Related Problems

Find third proportional to 506.50 and 1,032.50
Half scale
Find third proportional to 2,026 and 4,130
Double scale
Find third proportional to 1,015 and 2,069
Similar ratio
Find third proportional to 1,519.50 and 3,097.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.