Home / 138,726-198,234

Finding the Third Proportional to 138,726 and 198,234

Calculator

Solution

The third proportional to 138,726 and 198,234 is: 283,268.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,726 : 198,234 = 198,234 : x
  2. Step 2: Convert to fraction form
    138,726/198,234 = 198,234/x
  3. Step 3: Cross multiply
    138,726x = 198,234 × 198,234
  4. Step 4: Simplify right side
    138,726x = 39,296,718,756
  5. Step 5: Solve for x
    x = 39,296,718,756/138,726
  6. Step 6: Final answer
    x = 283,268.59

Related Problems

Find third proportional to 69,363 and 99,117
Half scale
Find third proportional to 277,452 and 396,468
Double scale
Find third proportional to 138,728 and 198,237
Similar ratio
Find third proportional to 208,089 and 297,351
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.