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Finding the Third Proportional to 11,083 and 23,905

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Solution

The third proportional to 11,083 and 23,905 is: 51,560.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,083 : 23,905 = 23,905 : x
  2. Step 2: Convert to fraction form
    11,083/23,905 = 23,905/x
  3. Step 3: Cross multiply
    11,083x = 23,905 × 23,905
  4. Step 4: Simplify right side
    11,083x = 571,449,025
  5. Step 5: Solve for x
    x = 571,449,025/11,083
  6. Step 6: Final answer
    x = 51,560.86

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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.