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Finding the Third Proportional to 5,954.63 and 13,845.38

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Solution

The third proportional to 5,954.63 and 13,845.38 is: 32,192.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,954.63 : 13,845.38 = 13,845.38 : x
  2. Step 2: Convert to fraction form
    5,954.63/13,845.38 = 13,845.38/x
  3. Step 3: Cross multiply
    5,954.63x = 13,845.38 × 13,845.38
  4. Step 4: Simplify right side
    5,954.63x = 191,694,408.89
  5. Step 5: Solve for x
    x = 191,694,408.89/5,954.63
  6. Step 6: Final answer
    x = 32,192.52

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.