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Finding the Third Proportional to 12,577.78 and 18,745.17

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Solution

The third proportional to 12,577.78 and 18,745.17 is: 27,936.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,577.78 : 18,745.17 = 18,745.17 : x
  2. Step 2: Convert to fraction form
    12,577.78/18,745.17 = 18,745.17/x
  3. Step 3: Cross multiply
    12,577.78x = 18,745.17 × 18,745.17
  4. Step 4: Simplify right side
    12,577.78x = 351,381,468.62
  5. Step 5: Solve for x
    x = 351,381,468.62/12,577.78
  6. Step 6: Final answer
    x = 27,936.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.