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Finding the Third Proportional to 121,885 and 188,355

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Solution

The third proportional to 121,885 and 188,355 is: 291,074.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,885 : 188,355 = 188,355 : x
  2. Step 2: Convert to fraction form
    121,885/188,355 = 188,355/x
  3. Step 3: Cross multiply
    121,885x = 188,355 × 188,355
  4. Step 4: Simplify right side
    121,885x = 35,477,606,025
  5. Step 5: Solve for x
    x = 35,477,606,025/121,885
  6. Step 6: Final answer
    x = 291,074.42

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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.