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Finding the Third Proportional to 11,537 and 15,149

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Solution

The third proportional to 11,537 and 15,149 is: 19,891.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,537 : 15,149 = 15,149 : x
  2. Step 2: Convert to fraction form
    11,537/15,149 = 15,149/x
  3. Step 3: Cross multiply
    11,537x = 15,149 × 15,149
  4. Step 4: Simplify right side
    11,537x = 229,492,201
  5. Step 5: Solve for x
    x = 229,492,201/11,537
  6. Step 6: Final answer
    x = 19,891.84

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.