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Finding the Third Proportional to 13,338 and 27,949.50

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Solution

The third proportional to 13,338 and 27,949.50 is: 58,567.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,338 : 27,949.50 = 27,949.50 : x
  2. Step 2: Convert to fraction form
    13,338/27,949.50 = 27,949.50/x
  3. Step 3: Cross multiply
    13,338x = 27,949.50 × 27,949.50
  4. Step 4: Simplify right side
    13,338x = 781,174,550.25
  5. Step 5: Solve for x
    x = 781,174,550.25/13,338
  6. Step 6: Final answer
    x = 58,567.59

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.