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Finding the Third Proportional to 106,354 and 218,172

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Solution

The third proportional to 106,354 and 218,172 is: 447,552.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,354 : 218,172 = 218,172 : x
  2. Step 2: Convert to fraction form
    106,354/218,172 = 218,172/x
  3. Step 3: Cross multiply
    106,354x = 218,172 × 218,172
  4. Step 4: Simplify right side
    106,354x = 47,599,021,584
  5. Step 5: Solve for x
    x = 47,599,021,584/106,354
  6. Step 6: Final answer
    x = 447,552.72

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.