Home / 200,259-406,044

Finding the Third Proportional to 200,259 and 406,044

Calculator

Solution

The third proportional to 200,259 and 406,044 is: 823,292.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,259 : 406,044 = 406,044 : x
  2. Step 2: Convert to fraction form
    200,259/406,044 = 406,044/x
  3. Step 3: Cross multiply
    200,259x = 406,044 × 406,044
  4. Step 4: Simplify right side
    200,259x = 164,871,729,936
  5. Step 5: Solve for x
    x = 164,871,729,936/200,259
  6. Step 6: Final answer
    x = 823,292.49

Related Problems

Find third proportional to 100,129.50 and 203,022
Half scale
Find third proportional to 400,518 and 812,088
Double scale
Find third proportional to 200,261 and 406,048
Similar ratio
Find third proportional to 300,388.50 and 609,066
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.