Home / 309-677

Finding the Third Proportional to 309 and 677

Calculator

Solution

The third proportional to 309 and 677 is: 1,483.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    309 : 677 = 677 : x
  2. Step 2: Convert to fraction form
    309/677 = 677/x
  3. Step 3: Cross multiply
    309x = 677 × 677
  4. Step 4: Simplify right side
    309x = 458,329
  5. Step 5: Solve for x
    x = 458,329/309
  6. Step 6: Final answer
    x = 1,483.27

Related Problems

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.