Home / 333-506

Finding the Third Proportional to 333 and 506

Calculator

Solution

The third proportional to 333 and 506 is: 768.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    333 : 506 = 506 : x
  2. Step 2: Convert to fraction form
    333/506 = 506/x
  3. Step 3: Cross multiply
    333x = 506 × 506
  4. Step 4: Simplify right side
    333x = 256,036
  5. Step 5: Solve for x
    x = 256,036/333
  6. Step 6: Final answer
    x = 768.88

Related Problems

Find third proportional to 166.50 and 253
Half scale
Find third proportional to 666 and 1,012
Double scale
Find third proportional to 335 and 509
Similar ratio
Find third proportional to 499.50 and 759
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.