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Finding the Third Proportional to 10,408.78 and 22,893.75

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Solution

The third proportional to 10,408.78 and 22,893.75 is: 50,354.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,408.78 : 22,893.75 = 22,893.75 : x
  2. Step 2: Convert to fraction form
    10,408.78/22,893.75 = 22,893.75/x
  3. Step 3: Cross multiply
    10,408.78x = 22,893.75 × 22,893.75
  4. Step 4: Simplify right side
    10,408.78x = 524,123,789.06
  5. Step 5: Solve for x
    x = 524,123,789.06/10,408.78
  6. Step 6: Final answer
    x = 50,354.00

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.