Home / 51,187-106,461

Finding the Third Proportional to 51,187 and 106,461

Calculator

Solution

The third proportional to 51,187 and 106,461 is: 221,422.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,187 : 106,461 = 106,461 : x
  2. Step 2: Convert to fraction form
    51,187/106,461 = 106,461/x
  3. Step 3: Cross multiply
    51,187x = 106,461 × 106,461
  4. Step 4: Simplify right side
    51,187x = 11,333,944,521
  5. Step 5: Solve for x
    x = 11,333,944,521/51,187
  6. Step 6: Final answer
    x = 221,422.32

Related Problems

Find third proportional to 25,593.50 and 53,230.50
Half scale
Find third proportional to 102,374 and 212,922
Double scale
Find third proportional to 51,189 and 106,465
Similar ratio
Find third proportional to 76,780.50 and 159,691.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.