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Finding the Third Proportional to 11,035 and 23,797

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Solution

The third proportional to 11,035 and 23,797 is: 51,318.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,035 : 23,797 = 23,797 : x
  2. Step 2: Convert to fraction form
    11,035/23,797 = 23,797/x
  3. Step 3: Cross multiply
    11,035x = 23,797 × 23,797
  4. Step 4: Simplify right side
    11,035x = 566,297,209
  5. Step 5: Solve for x
    x = 566,297,209/11,035
  6. Step 6: Final answer
    x = 51,318.28

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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.