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Finding the Third Proportional to 12,378 and 18,564

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Solution

The third proportional to 12,378 and 18,564 is: 27,841.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,378 : 18,564 = 18,564 : x
  2. Step 2: Convert to fraction form
    12,378/18,564 = 18,564/x
  3. Step 3: Cross multiply
    12,378x = 18,564 × 18,564
  4. Step 4: Simplify right side
    12,378x = 344,622,096
  5. Step 5: Solve for x
    x = 344,622,096/12,378
  6. Step 6: Final answer
    x = 27,841.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.