Home / 213-463

Finding the Third Proportional to 213 and 463

Calculator

Solution

The third proportional to 213 and 463 is: 1,006.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    213 : 463 = 463 : x
  2. Step 2: Convert to fraction form
    213/463 = 463/x
  3. Step 3: Cross multiply
    213x = 463 × 463
  4. Step 4: Simplify right side
    213x = 214,369
  5. Step 5: Solve for x
    x = 214,369/213
  6. Step 6: Final answer
    x = 1,006.43

Related Problems

Find third proportional to 106.50 and 231.50
Half scale
Find third proportional to 426 and 926
Double scale
Find third proportional to 215 and 467
Similar ratio
Find third proportional to 319.50 and 694.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.