Home / 462-492

Finding the Third Proportional to 462 and 492

Calculator

Solution

The third proportional to 462 and 492 is: 523.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    462 : 492 = 492 : x
  2. Step 2: Convert to fraction form
    462/492 = 492/x
  3. Step 3: Cross multiply
    462x = 492 × 492
  4. Step 4: Simplify right side
    462x = 242,064
  5. Step 5: Solve for x
    x = 242,064/462
  6. Step 6: Final answer
    x = 523.95

Related Problems

Why These Related Problems?

These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.