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Finding the Third Proportional to 11,402 and 18,151

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Solution

The third proportional to 11,402 and 18,151 is: 28,894.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,402 : 18,151 = 18,151 : x
  2. Step 2: Convert to fraction form
    11,402/18,151 = 18,151/x
  3. Step 3: Cross multiply
    11,402x = 18,151 × 18,151
  4. Step 4: Simplify right side
    11,402x = 329,458,801
  5. Step 5: Solve for x
    x = 329,458,801/11,402
  6. Step 6: Final answer
    x = 28,894.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.