Home / 200,412-280,203

Finding the Third Proportional to 200,412 and 280,203

Calculator

Solution

The third proportional to 200,412 and 280,203 is: 391,761.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,412 : 280,203 = 280,203 : x
  2. Step 2: Convert to fraction form
    200,412/280,203 = 280,203/x
  3. Step 3: Cross multiply
    200,412x = 280,203 × 280,203
  4. Step 4: Simplify right side
    200,412x = 78,513,721,209
  5. Step 5: Solve for x
    x = 78,513,721,209/200,412
  6. Step 6: Final answer
    x = 391,761.58

Related Problems

Find third proportional to 100,206 and 140,101.50
Half scale
Find third proportional to 400,824 and 560,406
Double scale
Find third proportional to 200,414 and 280,206
Similar ratio
Find third proportional to 300,618 and 420,304.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.