Home / 436-463

Finding the Third Proportional to 436 and 463

Calculator

Solution

The third proportional to 436 and 463 is: 491.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    436 : 463 = 463 : x
  2. Step 2: Convert to fraction form
    436/463 = 463/x
  3. Step 3: Cross multiply
    436x = 463 × 463
  4. Step 4: Simplify right side
    436x = 214,369
  5. Step 5: Solve for x
    x = 214,369/436
  6. Step 6: Final answer
    x = 491.67

Related Problems

Find third proportional to 218 and 231.50
Half scale
Find third proportional to 872 and 926
Double scale
Find third proportional to 438 and 465
Similar ratio
Find third proportional to 654 and 694.50
1.5x scale

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.