Home / 142,604-199,382

Finding the Third Proportional to 142,604 and 199,382

Calculator

Solution

The third proportional to 142,604 and 199,382 is: 278,766.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,604 : 199,382 = 199,382 : x
  2. Step 2: Convert to fraction form
    142,604/199,382 = 199,382/x
  3. Step 3: Cross multiply
    142,604x = 199,382 × 199,382
  4. Step 4: Simplify right side
    142,604x = 39,753,181,924
  5. Step 5: Solve for x
    x = 39,753,181,924/142,604
  6. Step 6: Final answer
    x = 278,766.25

Related Problems

Find third proportional to 71,302 and 99,691
Half scale
Find third proportional to 285,208 and 398,764
Double scale
Find third proportional to 142,606 and 199,385
Similar ratio
Find third proportional to 213,906 and 299,073
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.