Home / 106,226-231,184

Finding the Third Proportional to 106,226 and 231,184

Calculator

Solution

The third proportional to 106,226 and 231,184 is: 503,135.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,226 : 231,184 = 231,184 : x
  2. Step 2: Convert to fraction form
    106,226/231,184 = 231,184/x
  3. Step 3: Cross multiply
    106,226x = 231,184 × 231,184
  4. Step 4: Simplify right side
    106,226x = 53,446,041,856
  5. Step 5: Solve for x
    x = 53,446,041,856/106,226
  6. Step 6: Final answer
    x = 503,135.22

Related Problems

Find third proportional to 53,113 and 115,592
Half scale
Find third proportional to 212,452 and 462,368
Double scale
Find third proportional to 106,228 and 231,188
Similar ratio
Find third proportional to 159,339 and 346,776
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.