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Finding the Third Proportional to 12,978 and 27,252

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Solution

The third proportional to 12,978 and 27,252 is: 57,225.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,978 : 27,252 = 27,252 : x
  2. Step 2: Convert to fraction form
    12,978/27,252 = 27,252/x
  3. Step 3: Cross multiply
    12,978x = 27,252 × 27,252
  4. Step 4: Simplify right side
    12,978x = 742,671,504
  5. Step 5: Solve for x
    x = 742,671,504/12,978
  6. Step 6: Final answer
    x = 57,225.42

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.