Home / 89,289-138,195

Finding the Third Proportional to 89,289 and 138,195

Calculator

Solution

The third proportional to 89,289 and 138,195 is: 213,888.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,289 : 138,195 = 138,195 : x
  2. Step 2: Convert to fraction form
    89,289/138,195 = 138,195/x
  3. Step 3: Cross multiply
    89,289x = 138,195 × 138,195
  4. Step 4: Simplify right side
    89,289x = 19,097,858,025
  5. Step 5: Solve for x
    x = 19,097,858,025/89,289
  6. Step 6: Final answer
    x = 213,888.14

Related Problems

Find third proportional to 44,644.50 and 69,097.50
Half scale
Find third proportional to 178,578 and 276,390
Double scale
Find third proportional to 89,291 and 138,198
Similar ratio
Find third proportional to 133,933.50 and 207,292.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.