Home / 317-462

Finding the Third Proportional to 317 and 462

Calculator

Solution

The third proportional to 317 and 462 is: 673.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    317 : 462 = 462 : x
  2. Step 2: Convert to fraction form
    317/462 = 462/x
  3. Step 3: Cross multiply
    317x = 462 × 462
  4. Step 4: Simplify right side
    317x = 213,444
  5. Step 5: Solve for x
    x = 213,444/317
  6. Step 6: Final answer
    x = 673.32

Related Problems

Find third proportional to 158.50 and 231
Half scale
Find third proportional to 634 and 924
Double scale
Find third proportional to 319 and 465
Similar ratio
Find third proportional to 475.50 and 693
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.