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Finding the Third Proportional to 93,098 and 200,956

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Solution

The third proportional to 93,098 and 200,956 is: 433,772.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,098 : 200,956 = 200,956 : x
  2. Step 2: Convert to fraction form
    93,098/200,956 = 200,956/x
  3. Step 3: Cross multiply
    93,098x = 200,956 × 200,956
  4. Step 4: Simplify right side
    93,098x = 40,383,313,936
  5. Step 5: Solve for x
    x = 40,383,313,936/93,098
  6. Step 6: Final answer
    x = 433,772.09

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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.