Home / 512-536

Finding the Third Proportional to 512 and 536

Calculator

Solution

The third proportional to 512 and 536 is: 561.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    512 : 536 = 536 : x
  2. Step 2: Convert to fraction form
    512/536 = 536/x
  3. Step 3: Cross multiply
    512x = 536 × 536
  4. Step 4: Simplify right side
    512x = 287,296
  5. Step 5: Solve for x
    x = 287,296/512
  6. Step 6: Final answer
    x = 561.13

Related Problems

Find third proportional to 256 and 268
Half scale
Find third proportional to 1,024 and 1,072
Double scale
Find third proportional to 514 and 538
Similar ratio
Find third proportional to 768 and 804
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.