Home / 86,827-189,365

Finding the Third Proportional to 86,827 and 189,365

Calculator

Solution

The third proportional to 86,827 and 189,365 is: 412,994.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,827 : 189,365 = 189,365 : x
  2. Step 2: Convert to fraction form
    86,827/189,365 = 189,365/x
  3. Step 3: Cross multiply
    86,827x = 189,365 × 189,365
  4. Step 4: Simplify right side
    86,827x = 35,859,103,225
  5. Step 5: Solve for x
    x = 35,859,103,225/86,827
  6. Step 6: Final answer
    x = 412,994.84

Related Problems

Find third proportional to 43,413.50 and 94,682.50
Half scale
Find third proportional to 173,654 and 378,730
Double scale
Find third proportional to 86,829 and 189,369
Similar ratio
Find third proportional to 130,240.50 and 284,047.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.