Home / 104-208.50

Finding the Third Proportional to 104 and 208.50

Calculator

Solution

The third proportional to 104 and 208.50 is: 418.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    104 : 208.50 = 208.50 : x
  2. Step 2: Convert to fraction form
    104/208.50 = 208.50/x
  3. Step 3: Cross multiply
    104x = 208.50 × 208.50
  4. Step 4: Simplify right side
    104x = 43,472.25
  5. Step 5: Solve for x
    x = 43,472.25/104
  6. Step 6: Final answer
    x = 418.00

Related Problems

Find third proportional to 52 and 104.25
Half scale
Find third proportional to 208 and 417
Double scale
Find third proportional to 106 and 213
Similar ratio
Find third proportional to 156 and 312.75
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.