Home / 468-567

Finding the Third Proportional to 468 and 567

Calculator

Solution

The third proportional to 468 and 567 is: 686.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    468 : 567 = 567 : x
  2. Step 2: Convert to fraction form
    468/567 = 567/x
  3. Step 3: Cross multiply
    468x = 567 × 567
  4. Step 4: Simplify right side
    468x = 321,489
  5. Step 5: Solve for x
    x = 321,489/468
  6. Step 6: Final answer
    x = 686.94

Related Problems

Find third proportional to 234 and 283.50
Half scale
Find third proportional to 936 and 1,134
Double scale
Find third proportional to 470 and 569
Similar ratio
Find third proportional to 702 and 850.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.