Home / 83-205.50

Finding the Third Proportional to 83 and 205.50

Calculator

Solution

The third proportional to 83 and 205.50 is: 508.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83 : 205.50 = 205.50 : x
  2. Step 2: Convert to fraction form
    83/205.50 = 205.50/x
  3. Step 3: Cross multiply
    83x = 205.50 × 205.50
  4. Step 4: Simplify right side
    83x = 42,230.25
  5. Step 5: Solve for x
    x = 42,230.25/83
  6. Step 6: Final answer
    x = 508.80

Related Problems

Find third proportional to 41.50 and 102.75
Half scale
Find third proportional to 166 and 411
Double scale
Find third proportional to 85 and 210
Similar ratio
Find third proportional to 124.50 and 308.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.