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Finding the Third Proportional to 106,369 and 218,218

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Solution

The third proportional to 106,369 and 218,218 is: 447,678.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,369 : 218,218 = 218,218 : x
  2. Step 2: Convert to fraction form
    106,369/218,218 = 218,218/x
  3. Step 3: Cross multiply
    106,369x = 218,218 × 218,218
  4. Step 4: Simplify right side
    106,369x = 47,619,095,524
  5. Step 5: Solve for x
    x = 47,619,095,524/106,369
  6. Step 6: Final answer
    x = 447,678.32

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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.