Home / 504-567

Finding the Third Proportional to 504 and 567

Calculator

Solution

The third proportional to 504 and 567 is: 637.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    504 : 567 = 567 : x
  2. Step 2: Convert to fraction form
    504/567 = 567/x
  3. Step 3: Cross multiply
    504x = 567 × 567
  4. Step 4: Simplify right side
    504x = 321,489
  5. Step 5: Solve for x
    x = 321,489/504
  6. Step 6: Final answer
    x = 637.88

Related Problems

Find third proportional to 252 and 283.50
Half scale
Find third proportional to 1,008 and 1,134
Double scale
Find third proportional to 506 and 569
Similar ratio
Find third proportional to 756 and 850.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.