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Finding the Third Proportional to 93,406 and 199,933

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Solution

The third proportional to 93,406 and 199,933 is: 427,951.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,406 : 199,933 = 199,933 : x
  2. Step 2: Convert to fraction form
    93,406/199,933 = 199,933/x
  3. Step 3: Cross multiply
    93,406x = 199,933 × 199,933
  4. Step 4: Simplify right side
    93,406x = 39,973,204,489
  5. Step 5: Solve for x
    x = 39,973,204,489/93,406
  6. Step 6: Final answer
    x = 427,951.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.