Home / 147,860-209,218

Finding the Third Proportional to 147,860 and 209,218

Calculator

Solution

The third proportional to 147,860 and 209,218 is: 296,037.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,860 : 209,218 = 209,218 : x
  2. Step 2: Convert to fraction form
    147,860/209,218 = 209,218/x
  3. Step 3: Cross multiply
    147,860x = 209,218 × 209,218
  4. Step 4: Simplify right side
    147,860x = 43,772,171,524
  5. Step 5: Solve for x
    x = 43,772,171,524/147,860
  6. Step 6: Final answer
    x = 296,037.95

Related Problems

Find third proportional to 73,930 and 104,609
Half scale
Find third proportional to 295,720 and 418,436
Double scale
Find third proportional to 147,862 and 209,221
Similar ratio
Find third proportional to 221,790 and 313,827
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.