Home / 209,618-296,323

Finding the Third Proportional to 209,618 and 296,323

Calculator

Solution

The third proportional to 209,618 and 296,323 is: 418,892.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,618 : 296,323 = 296,323 : x
  2. Step 2: Convert to fraction form
    209,618/296,323 = 296,323/x
  3. Step 3: Cross multiply
    209,618x = 296,323 × 296,323
  4. Step 4: Simplify right side
    209,618x = 87,807,320,329
  5. Step 5: Solve for x
    x = 87,807,320,329/209,618
  6. Step 6: Final answer
    x = 418,892.08

Related Problems

Find third proportional to 104,809 and 148,161.50
Half scale
Find third proportional to 419,236 and 592,646
Double scale
Find third proportional to 209,620 and 296,326
Similar ratio
Find third proportional to 314,427 and 444,484.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.