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Finding the Third Proportional to 102,907 and 222,217

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Solution

The third proportional to 102,907 and 222,217 is: 479,854.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,907 : 222,217 = 222,217 : x
  2. Step 2: Convert to fraction form
    102,907/222,217 = 222,217/x
  3. Step 3: Cross multiply
    102,907x = 222,217 × 222,217
  4. Step 4: Simplify right side
    102,907x = 49,380,395,089
  5. Step 5: Solve for x
    x = 49,380,395,089/102,907
  6. Step 6: Final answer
    x = 479,854.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.