Home / 201,206-298,356

Finding the Third Proportional to 201,206 and 298,356

Calculator

Solution

The third proportional to 201,206 and 298,356 is: 442,413.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,206 : 298,356 = 298,356 : x
  2. Step 2: Convert to fraction form
    201,206/298,356 = 298,356/x
  3. Step 3: Cross multiply
    201,206x = 298,356 × 298,356
  4. Step 4: Simplify right side
    201,206x = 89,016,302,736
  5. Step 5: Solve for x
    x = 89,016,302,736/201,206
  6. Step 6: Final answer
    x = 442,413.76

Related Problems

Find third proportional to 100,603 and 149,178
Half scale
Find third proportional to 402,412 and 596,712
Double scale
Find third proportional to 201,208 and 298,359
Similar ratio
Find third proportional to 301,809 and 447,534
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.