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Finding the Third Proportional to 6,048 and 11,920.50

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Solution

The third proportional to 6,048 and 11,920.50 is: 23,495.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,048 : 11,920.50 = 11,920.50 : x
  2. Step 2: Convert to fraction form
    6,048/11,920.50 = 11,920.50/x
  3. Step 3: Cross multiply
    6,048x = 11,920.50 × 11,920.50
  4. Step 4: Simplify right side
    6,048x = 142,098,320.25
  5. Step 5: Solve for x
    x = 142,098,320.25/6,048
  6. Step 6: Final answer
    x = 23,495.09

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.