Home / 200,820-418,272

Finding the Third Proportional to 200,820 and 418,272

Calculator

Solution

The third proportional to 200,820 and 418,272 is: 871,185.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,820 : 418,272 = 418,272 : x
  2. Step 2: Convert to fraction form
    200,820/418,272 = 418,272/x
  3. Step 3: Cross multiply
    200,820x = 418,272 × 418,272
  4. Step 4: Simplify right side
    200,820x = 174,951,465,984
  5. Step 5: Solve for x
    x = 174,951,465,984/200,820
  6. Step 6: Final answer
    x = 871,185.47

Related Problems

Find third proportional to 100,410 and 209,136
Half scale
Find third proportional to 401,640 and 836,544
Double scale
Find third proportional to 200,822 and 418,276
Similar ratio
Find third proportional to 301,230 and 627,408
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.