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Finding the Third Proportional to 11,784 and 15,801

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Solution

The third proportional to 11,784 and 15,801 is: 21,187.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,784 : 15,801 = 15,801 : x
  2. Step 2: Convert to fraction form
    11,784/15,801 = 15,801/x
  3. Step 3: Cross multiply
    11,784x = 15,801 × 15,801
  4. Step 4: Simplify right side
    11,784x = 249,671,601
  5. Step 5: Solve for x
    x = 249,671,601/11,784
  6. Step 6: Final answer
    x = 21,187.34

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.