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Finding the Third Proportional to 4,946.50 and 11,676.75

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Solution

The third proportional to 4,946.50 and 11,676.75 is: 27,564.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946.50 : 11,676.75 = 11,676.75 : x
  2. Step 2: Convert to fraction form
    4,946.50/11,676.75 = 11,676.75/x
  3. Step 3: Cross multiply
    4,946.50x = 11,676.75 × 11,676.75
  4. Step 4: Simplify right side
    4,946.50x = 136,346,490.56
  5. Step 5: Solve for x
    x = 136,346,490.56/4,946.50
  6. Step 6: Final answer
    x = 27,564.24

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.