Home / 205-251

Finding the Third Proportional to 205 and 251

Calculator

Solution

The third proportional to 205 and 251 is: 307.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    205 : 251 = 251 : x
  2. Step 2: Convert to fraction form
    205/251 = 251/x
  3. Step 3: Cross multiply
    205x = 251 × 251
  4. Step 4: Simplify right side
    205x = 63,001
  5. Step 5: Solve for x
    x = 63,001/205
  6. Step 6: Final answer
    x = 307.32

Related Problems

Find third proportional to 102.50 and 125.50
Half scale
Find third proportional to 410 and 502
Double scale
Find third proportional to 207 and 253
Similar ratio
Find third proportional to 307.50 and 376.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.