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Finding the Third Proportional to 11,678 and 17,148

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Solution

The third proportional to 11,678 and 17,148 is: 25,180.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,678 : 17,148 = 17,148 : x
  2. Step 2: Convert to fraction form
    11,678/17,148 = 17,148/x
  3. Step 3: Cross multiply
    11,678x = 17,148 × 17,148
  4. Step 4: Simplify right side
    11,678x = 294,053,904
  5. Step 5: Solve for x
    x = 294,053,904/11,678
  6. Step 6: Final answer
    x = 25,180.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.