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Finding the Third Proportional to 11,553.75 and 23,654.72

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Solution

The third proportional to 11,553.75 and 23,654.72 is: 48,429.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,553.75 : 23,654.72 = 23,654.72 : x
  2. Step 2: Convert to fraction form
    11,553.75/23,654.72 = 23,654.72/x
  3. Step 3: Cross multiply
    11,553.75x = 23,654.72 × 23,654.72
  4. Step 4: Simplify right side
    11,553.75x = 559,545,719.14
  5. Step 5: Solve for x
    x = 559,545,719.14/11,553.75
  6. Step 6: Final answer
    x = 48,429.79

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.