Home / 200-284

Finding the Third Proportional to 200 and 284

Calculator

Solution

The third proportional to 200 and 284 is: 403.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    200 : 284 = 284 : x
  2. Step 2: Convert to fraction form
    200/284 = 284/x
  3. Step 3: Cross multiply
    200x = 284 × 284
  4. Step 4: Simplify right side
    200x = 80,656
  5. Step 5: Solve for x
    x = 80,656/200
  6. Step 6: Final answer
    x = 403.28

Related Problems

Find third proportional to 100 and 142
Half scale
Find third proportional to 400 and 568
Double scale
Find third proportional to 202 and 287
Similar ratio
Find third proportional to 300 and 426
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.