Home / 506-648

Finding the Third Proportional to 506 and 648

Calculator

Solution

The third proportional to 506 and 648 is: 829.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    506 : 648 = 648 : x
  2. Step 2: Convert to fraction form
    506/648 = 648/x
  3. Step 3: Cross multiply
    506x = 648 × 648
  4. Step 4: Simplify right side
    506x = 419,904
  5. Step 5: Solve for x
    x = 419,904/506
  6. Step 6: Final answer
    x = 829.85

Related Problems

Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.