Home / 506-536

Finding the Third Proportional to 506 and 536

Calculator

Solution

The third proportional to 506 and 536 is: 567.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    506 : 536 = 536 : x
  2. Step 2: Convert to fraction form
    506/536 = 536/x
  3. Step 3: Cross multiply
    506x = 536 × 536
  4. Step 4: Simplify right side
    506x = 287,296
  5. Step 5: Solve for x
    x = 287,296/506
  6. Step 6: Final answer
    x = 567.78

Related Problems

Find third proportional to 253 and 268
Half scale
Find third proportional to 1,012 and 1,072
Double scale
Find third proportional to 508 and 538
Similar ratio
Find third proportional to 759 and 804
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.