Home / 80.50-209

Finding the Third Proportional to 80.50 and 209

Calculator

Solution

The third proportional to 80.50 and 209 is: 542.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.50 : 209 = 209 : x
  2. Step 2: Convert to fraction form
    80.50/209 = 209/x
  3. Step 3: Cross multiply
    80.50x = 209 × 209
  4. Step 4: Simplify right side
    80.50x = 43,681
  5. Step 5: Solve for x
    x = 43,681/80.50
  6. Step 6: Final answer
    x = 542.62

Related Problems

Find third proportional to 40.25 and 104.50
Half scale
Find third proportional to 161 and 418
Double scale
Find third proportional to 83 and 214
Similar ratio
Find third proportional to 120.75 and 313.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.