Home / 538-650

Finding the Third Proportional to 538 and 650

Calculator

Solution

The third proportional to 538 and 650 is: 785.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    538 : 650 = 650 : x
  2. Step 2: Convert to fraction form
    538/650 = 650/x
  3. Step 3: Cross multiply
    538x = 650 × 650
  4. Step 4: Simplify right side
    538x = 422,500
  5. Step 5: Solve for x
    x = 422,500/538
  6. Step 6: Final answer
    x = 785.32

Related Problems

Find third proportional to 269 and 325
Half scale
Find third proportional to 1,076 and 1,300
Double scale
Find third proportional to 540 and 652
Similar ratio
Find third proportional to 807 and 975
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.