Home / 137,676-193,872

Finding the Third Proportional to 137,676 and 193,872

Calculator

Solution

The third proportional to 137,676 and 193,872 is: 273,005.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,676 : 193,872 = 193,872 : x
  2. Step 2: Convert to fraction form
    137,676/193,872 = 193,872/x
  3. Step 3: Cross multiply
    137,676x = 193,872 × 193,872
  4. Step 4: Simplify right side
    137,676x = 37,586,352,384
  5. Step 5: Solve for x
    x = 37,586,352,384/137,676
  6. Step 6: Final answer
    x = 273,005.84

Related Problems

Find third proportional to 68,838 and 96,936
Half scale
Find third proportional to 275,352 and 387,744
Double scale
Find third proportional to 137,678 and 193,875
Similar ratio
Find third proportional to 206,514 and 290,808
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.