Home / 271-462

Finding the Third Proportional to 271 and 462

Calculator

Solution

The third proportional to 271 and 462 is: 787.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    271 : 462 = 462 : x
  2. Step 2: Convert to fraction form
    271/462 = 462/x
  3. Step 3: Cross multiply
    271x = 462 × 462
  4. Step 4: Simplify right side
    271x = 213,444
  5. Step 5: Solve for x
    x = 213,444/271
  6. Step 6: Final answer
    x = 787.62

Related Problems

Find third proportional to 135.50 and 231
Half scale
Find third proportional to 542 and 924
Double scale
Find third proportional to 273 and 465
Similar ratio
Find third proportional to 406.50 and 693
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.