Home / 409,266-838,212

Finding the Third Proportional to 409,266 and 838,212

Calculator

Solution

The third proportional to 409,266 and 838,212 is: 1,716,730.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,266 : 838,212 = 838,212 : x
  2. Step 2: Convert to fraction form
    409,266/838,212 = 838,212/x
  3. Step 3: Cross multiply
    409,266x = 838,212 × 838,212
  4. Step 4: Simplify right side
    409,266x = 702,599,356,944
  5. Step 5: Solve for x
    x = 702,599,356,944/409,266
  6. Step 6: Final answer
    x = 1,716,730.33

Related Problems

Find third proportional to 204,633 and 419,106
Half scale
Find third proportional to 818,532 and 1,676,424
Double scale
Find third proportional to 409,268 and 838,216
Similar ratio
Find third proportional to 613,899 and 1,257,318
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.