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Finding the Third Proportional to 102,906 and 222,215

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Solution

The third proportional to 102,906 and 222,215 is: 479,850.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,906 : 222,215 = 222,215 : x
  2. Step 2: Convert to fraction form
    102,906/222,215 = 222,215/x
  3. Step 3: Cross multiply
    102,906x = 222,215 × 222,215
  4. Step 4: Simplify right side
    102,906x = 49,379,506,225
  5. Step 5: Solve for x
    x = 49,379,506,225/102,906
  6. Step 6: Final answer
    x = 479,850.60

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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.