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Finding the Third Proportional to 102,302 and 222,101

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Solution

The third proportional to 102,302 and 222,101 is: 482,188.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,302 : 222,101 = 222,101 : x
  2. Step 2: Convert to fraction form
    102,302/222,101 = 222,101/x
  3. Step 3: Cross multiply
    102,302x = 222,101 × 222,101
  4. Step 4: Simplify right side
    102,302x = 49,328,854,201
  5. Step 5: Solve for x
    x = 49,328,854,201/102,302
  6. Step 6: Final answer
    x = 482,188.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.