Home / 550-609

Finding the Third Proportional to 550 and 609

Calculator

Solution

The third proportional to 550 and 609 is: 674.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    550 : 609 = 609 : x
  2. Step 2: Convert to fraction form
    550/609 = 609/x
  3. Step 3: Cross multiply
    550x = 609 × 609
  4. Step 4: Simplify right side
    550x = 370,881
  5. Step 5: Solve for x
    x = 370,881/550
  6. Step 6: Final answer
    x = 674.33

Related Problems

Find third proportional to 275 and 304.50
Half scale
Find third proportional to 1,100 and 1,218
Double scale
Find third proportional to 552 and 611
Similar ratio
Find third proportional to 825 and 913.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.