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Finding the Third Proportional to 93,376 and 204,892

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Solution

The third proportional to 93,376 and 204,892 is: 449,588.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,376 : 204,892 = 204,892 : x
  2. Step 2: Convert to fraction form
    93,376/204,892 = 204,892/x
  3. Step 3: Cross multiply
    93,376x = 204,892 × 204,892
  4. Step 4: Simplify right side
    93,376x = 41,980,731,664
  5. Step 5: Solve for x
    x = 41,980,731,664/93,376
  6. Step 6: Final answer
    x = 449,588.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.