Home / 1,300-1,426

Finding the Third Proportional to 1,300 and 1,426

Calculator

Solution

The third proportional to 1,300 and 1,426 is: 1,564.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300 : 1,426 = 1,426 : x
  2. Step 2: Convert to fraction form
    1,300/1,426 = 1,426/x
  3. Step 3: Cross multiply
    1,300x = 1,426 × 1,426
  4. Step 4: Simplify right side
    1,300x = 2,033,476
  5. Step 5: Solve for x
    x = 2,033,476/1,300
  6. Step 6: Final answer
    x = 1,564.21

Related Problems

Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.