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Finding the Third Proportional to 11,513 and 18,087

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Solution

The third proportional to 11,513 and 18,087 is: 28,414.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,513 : 18,087 = 18,087 : x
  2. Step 2: Convert to fraction form
    11,513/18,087 = 18,087/x
  3. Step 3: Cross multiply
    11,513x = 18,087 × 18,087
  4. Step 4: Simplify right side
    11,513x = 327,139,569
  5. Step 5: Solve for x
    x = 327,139,569/11,513
  6. Step 6: Final answer
    x = 28,414.80

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.