Home / 447-462

Finding the Third Proportional to 447 and 462

Calculator

Solution

The third proportional to 447 and 462 is: 477.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    447 : 462 = 462 : x
  2. Step 2: Convert to fraction form
    447/462 = 462/x
  3. Step 3: Cross multiply
    447x = 462 × 462
  4. Step 4: Simplify right side
    447x = 213,444
  5. Step 5: Solve for x
    x = 213,444/447
  6. Step 6: Final answer
    x = 477.50

Related Problems

Find third proportional to 223.50 and 231
Half scale
Find third proportional to 894 and 924
Double scale
Find third proportional to 449 and 464
Similar ratio
Find third proportional to 670.50 and 693
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.