Home / 97-209

Finding the Third Proportional to 97 and 209

Calculator

Solution

The third proportional to 97 and 209 is: 450.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    97 : 209 = 209 : x
  2. Step 2: Convert to fraction form
    97/209 = 209/x
  3. Step 3: Cross multiply
    97x = 209 × 209
  4. Step 4: Simplify right side
    97x = 43,681
  5. Step 5: Solve for x
    x = 43,681/97
  6. Step 6: Final answer
    x = 450.32

Related Problems

Find third proportional to 48.50 and 104.50
Half scale
Find third proportional to 194 and 418
Double scale
Find third proportional to 99 and 213
Similar ratio
Find third proportional to 145.50 and 313.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.