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Finding the Third Proportional to 93,859 and 204,241

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Solution

The third proportional to 93,859 and 204,241 is: 444,436.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,859 : 204,241 = 204,241 : x
  2. Step 2: Convert to fraction form
    93,859/204,241 = 204,241/x
  3. Step 3: Cross multiply
    93,859x = 204,241 × 204,241
  4. Step 4: Simplify right side
    93,859x = 41,714,386,081
  5. Step 5: Solve for x
    x = 41,714,386,081/93,859
  6. Step 6: Final answer
    x = 444,436.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.